InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the light will not be gr |
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Answer» 7/12 NA |
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| 152. |
For a probability density function (pdf), the probability of a single point is |
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Answer» 0 0 |
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| 153. |
A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour. |
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Answer» 7/15 NA |
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| 154. |
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident |
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Answer» 35/100 NA |
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| 155. |
Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected |
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Answer» 2/63 NA |
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| 156. |
A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is ? |
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Answer» 1/10 NA |
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| 157. |
If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7? |
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Answer» 15/36 These are the POSSIBILITIES of the REQUIRED event to occur. {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (5,4), (6,4), (1,6), (2,5), (3, 4), (5,2), (6,1)} |
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| 158. |
Which of the following is not the property of binomial distribution |
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Answer» PROBABILITY of SUCCESS VARIES from TRIAL to trial Probability of success varies from trial to trial |
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| 159. |
In hypergeometric distribution, the trials are |
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Answer» Dependent Dependent |
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| 160. |
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ? |
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Answer» 7/13 NA |
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| 161. |
I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number ? |
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Answer» 1/1000 NA |
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| 162. |
The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ? |
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Answer» 1/2 NA |
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| 163. |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? |
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Answer» 12/455 NA |
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| 164. |
The mean, median and mode for binomial distribution will be equal when |
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Answer» <P> p =0.5 p =0.5 |
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| 165. |
Find the probability that getting 4 digit number with 1 in the unit place and 2 in the tens place when the numbers 1,2,3,4 and 5 are arranged at random without repeating. |
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Answer» 1/20 The numbers can be WRITTEN in 5! different ways then n(S) = 5! = 120 |
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| 166. |
Three unbiased coins are tossed, what is the probability of getting exactly two heads ? |
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Answer» 3/8 NA |
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| 167. |
There is a pack of 52 cards and Rohan draws two cards together, what is the probability that one is spade and one is heart ? |
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Answer» 13/102 13/102 |
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| 168. |
Probability distribution of a random variable is also known as |
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Answer» Probability Function |
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| 169. |
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green? |
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Answer» 8/21 Total number of BALLS = (8 + 7 + 6) = 21 |
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| 170. |
If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -. |
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Answer» 1/25 NA |
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| 171. |
From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is ? |
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Answer» 7/17 NA |
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| 172. |
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is : |
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Answer» 1/9 NA |
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| 173. |
Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack ? |
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Answer» 7/1339 NA |
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| 174. |
The successive trials are with replacement in |
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Answer» Binomial distribution |
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| 175. |
One hundred identical coins each with probability p of showing up head are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equals to that of heads on 51 coins. Then the value |
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| 176. |
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? |
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Answer» 5/21 NA |
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| 177. |
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow? |
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Answer» 2/21 NA |
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| 178. |
If four marbles are picked at random, what is the probability that one is green, two are blue and one is red ? |
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Answer» 24/455 NA |
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| 179. |
If three caps are picked at random, what is the probability that two are red and one is green ? |
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Answer» 3/22 NA |
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| 180. |
If two marbles are picked at random, what is the probability that either both are green or both are yellow ? |
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Answer» 4/105 NA |
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| 181. |
If four caps are picked at random, what is the probability that none is green ? |
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Answer» 7/99 NA |
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| 182. |
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B) |
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Answer» 3/2 NA |
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| 183. |
If four marbles are picked at random, what is the probability that at least one is blue ? |
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Answer» 22/91 NA |
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| 184. |
Events A and B are such that P (A) = 1/3, P(B) = 7/6, and P(not A or not B) = 1/4. State whether A and B are independent? |
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Answer» A and B are not independent NA |
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| 185. |
Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)? |
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Answer» 0.2 NA |
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| 186. |
A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black ? |
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Answer» 1/6 NA |
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| 187. |
In a simultaneous throw of two dice find the probability of getting a total of 8 . |
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Answer» 5/36 NA |
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| 188. |
There are 12 boys and 8 girls in a tution centre. If three of them scored first mark, then what is the probability that one of the three is a girl and the other two are boys? |
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Answer» none of these Total number of students = 20. |
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| 189. |
If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8, find P (not A and not B). |
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Answer» 1/8 NA |
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| 190. |
The last 5 alphabets are written at random then the probability that the letters y and z are written down side by side is : - |
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Answer» 2/5 The 5 letters can be written in 5! ways. |
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| 191. |
The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability ? |
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Answer» 1/120 NA |
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| 192. |
If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven? |
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Answer» 8/52 8/52 |
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| 193. |
If the occurrence of one event means that another cannot happen, then the events are |
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Answer» Two EVENTS are mutually exclusive if they (both of them) cannot OCCUR TOGETHER. |
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| 194. |
The collection of one or more outcomes from an experiment is called |
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Answer» An event is COLLECTION of ONE or more OUTCOMES from an EXPERIMENT. |
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| 195. |
Which of the following is not a correct statement about a probability. |
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Answer» It is the COLLECTION of SEVERAL EXPERIMENTS Probability is MEASURE of UNCERTAINTY its not collection of several experiments. |
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| 196. |
Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target ? |
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Answer» 2/3 NA |
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| 197. |
In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his war |
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Answer» 1/2 NA |
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| 198. |
From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king ? |
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Answer» NONE of these NA |
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| 199. |
In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesi |
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Answer» 5/8 NA |
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| 200. |
A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probab |
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Answer» 1/3 NA |
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