InterviewSolution
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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.
| 101. |
Two dice are thrown simultaneously ,what is the probability of getting a total of 7? |
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Answer» 1/6 N(S)=6*6=36 |
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| 102. |
What is the probability of getting a sum 9 from two throws of a dice? |
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Answer» 1/9 NA |
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| 103. |
From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings |
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Answer» 1/221 1/221 |
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| 104. |
The probability of occurrence of a multiple of 2 on a dice and multiple of 3 on the other dice . If both are thrown together is ? |
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Answer» 1/3 NA |
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| 105. |
A box contains 24 marbles, some are green and other are blue. If a marble is drawn at random from the box, the porbability that it is green is 2/3. The number of blue balls in the box is |
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Answer» 8 NA |
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| 106. |
What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, it contains 2 Queen |
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Answer» 29187/1017926 NA |
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| 107. |
The probability that a card drawn from a pack of 52 cards will from a pack of 52 cards will be diamond or king being to ? |
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Answer» 4/13 NA |
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| 108. |
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability |
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Answer» 2/7 NA |
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| 109. |
If six persons sit in a row, then the probability that three particular persons are always together is -. |
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Answer» 1/5 NA |
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| 110. |
In special rule of addition of probability, the events are always |
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Answer» In special rule of ADDITION of PROBABILITY the events must be mutually exclusive. |
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| 111. |
Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at least 10? |
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Answer» 1/6 In a SIMULTANEOUS throw of TWO dice, we have n(s) = 6 x 6 = 36 |
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| 112. |
What is the probability that a leap year has 53 Sundays and 52 Mondays? |
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Answer» 1/7 NA |
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| 113. |
If in a binomial distribution n = 1 then E(X) is |
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Answer» p p |
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| 114. |
Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube ? |
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Answer» 1/40 NA |
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| 115. |
A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30. |
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Answer» 551/15134 NA |
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| 116. |
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them? |
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Answer» 5/6 NA |
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| 117. |
Five coins are tossed at a time. Then, the probability of obtaining at least one tail is |
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Answer» 31/32 NA |
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| 118. |
If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is ? |
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Answer» 4/49 NA |
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| 119. |
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -. |
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Answer» 1/26 NA |
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| 120. |
What is the probability of getting a sum 9 from two throws of dice. |
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Answer» 1/9 Total NUMBER of CASES = 6*6 = 36 |
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| 121. |
What is the possibility of getting at least 6 heads, if eight coins are tossed simultaneously ? |
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Answer» 37/256 NA |
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| 122. |
Four dice are thrown simultaneously. Find the probability that all of them show the same face. |
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Answer» 1/216 NA |
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| 123. |
For distribution Function F(X), F(−∞)=0 and F(∞)= ? |
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Answer» 1 1 |
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| 124. |
A discrete probability distribution may be represented by |
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Answer» All of these All of these |
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| 125. |
In a Poisson probability distribution |
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Answer» The mean and VARIANCE of the distribution are same (EQUAL) The mean and variance in POISSON distribution is always same. |
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| 126. |
Let A and B be independent events with P (A) = 0.13 and P(B) = 0.3. Find P(B/A)? |
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Answer» 0.3 NA |
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| 127. |
Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ? |
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Answer» 7/15 NA |
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| 128. |
What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards, it contains all Queens |
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Answer» 192/379015 NA |
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| 129. |
Three unbiased coins are tossed, what is the probability of getting at least 2 tails ? |
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Answer» 1/2 Total cases are = 2*2*2 = 8, which are as follows |
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| 130. |
Hypergeometric distribution has parameters |
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Answer» 3 3 |
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| 131. |
What is the probability that an ordinary year has 53 Sundays ? |
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Answer» 1/7 NA |
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| 132. |
A six - faced dice is so biased that is twice as likely to show an even number as an odd number when throw. It is thrown twice. The probability that the sum of two number thrown is even is ? |
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Answer» 5/9 NA |
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| 133. |
Two dice are tossed. The probability that the total score is a prime number is: |
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Answer» 5/12 NA |
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| 134. |
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good. |
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Answer» 125/126 NA |
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| 135. |
The probability that a number selected at random from the first 50 natural numbers is a composite number is -. |
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Answer» 17/25 NA |
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| 136. |
An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event‘odd number on the second throw’. Check the independence of the events A and B. |
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Answer» A and B are INDEPENDENT events NA |
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| 137. |
A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event'the number appearing is even' then find whether G and H are independent ? |
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Answer» G and H are INDEPENDENT events. NA |
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| 138. |
The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur ? |
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Answer» 0.8 NA |
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| 139. |
In which approach to probability the outcomes are equally likely to occur? |
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Answer» Classical PROBABILITY In Classical probability the outcomes are EQUALLY LIKELY to occur. |
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| 140. |
If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions ? |
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Answer» 1/6 NA |
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| 141. |
In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is ? |
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Answer» 169/425 NA |
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| 142. |
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 red nor green? |
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Answer» 1/3 NA |
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| 143. |
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: |
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Answer» 2/91 NA |
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| 144. |
What is the probability that a non-leap year contains 52 Tuesday only ? |
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Answer» 6/7 NA |
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| 145. |
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -. |
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Answer» 4/13 NA |
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| 146. |
The first 7 alphabets are written down at random. what is the probability that the letters a,b,c always come together? |
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Answer» <P> 1/7 The 7 LETTERS can be written in 7! ways. |
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| 147. |
If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ? |
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Answer» 2/5 NA |
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| 148. |
The the special rule of multiplication of probability, the events must be |
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Answer» <P> Independent If two EVENTS are independent, i.e. are not related, the special RULE of multiplication is used to fined the probability of their JOINT occurrence. |
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| 149. |
A bag contains 6 white and 4 black balls. Two balls are drawn at random. Find the probability that they are of same colour. |
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Answer» 7/15 Number of ways two BALLS can be DRAWN from 10 balls(6 white +4 blacks)= 10C2=(10*9)/(2*1)=45 |
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| 150. |
Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.What is the probability that first two cards are queens and the third card drawn is an ace? |
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Answer» 2/5530 NA |
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