One card is drawn from a pack of well shuffle cards. what will be the

1.	One card is drawn from a pack of well shuffle cards. what will be the probability of a diamond card?1. 1/82. 1/43. 1/54. 1/65. 1/2
Answer» Correct Answer - Option 2 : 1/4 Formula used: ⁿC_r = n!/((n-r)! × r!) Calculation: Let S be the sample space then, n(S) = number of way of selecting 1 card out of 52 card ⇒ n(S) = ⁵²C₁ = 52 Let E be the event of getting a diamond card Total number of diamond card = 13 n(E) = ¹³C1 ⇒ 13 P(E) = n(E)/n(S) ⇒ P(E) = 13/52 ⇒ 1/4 ∴ The probability of a diamond card is 1/4

One card is drawn from a pack of well shuffle cards. what will be the probability of a diamond card?1. 1/82. 1/43. 1/54. 1/65. 1/2

Answer» Correct Answer - Option 2 : 1/4

Formula used:

ⁿC_r = n!/((n-r)! × r!)

Calculation:

Let S be the sample space then,

n(S) = number of way of selecting 1 card out of 52 card

⇒ n(S) = ⁵²C₁ = 52

Let E be the event of getting a diamond card

Total number of diamond card = 13

n(E) = ¹³C1

⇒ 13

P(E) = n(E)/n(S)

⇒ P(E) = 13/52

⇒ 1/4

∴ The probability of a diamond card is 1/4

Discussion

No Comment Found

Related InterviewSolutions

The chance of a student passing an exam is 30% , the chance of a student passing the exam and getting above 80% marks in it is 10%, if it is given that a student has passed the examination, then find the probability that the student has secure more than 80% marks in the exam ?1. 3/82. 1/33. 1/94. 1/8
A bag contains 5 black and 6 white balls; one balls are drawn at random. What is the probability that the balls drawn are black?1. 6/112. 5/63. 5/114. 2/5
Person A can hit a target 4 times in 5 attempts. Person B - 3 times in four attempts. Person C - 2 times in 3 attempts. They fire a volley. The probability that the target is hit atleast two times is1. 3/42. 1/23. 5/64. 1
A dice is thrown, find the probability of getting a number which is exactly divisible by 2.1. 2/32. 1/23. 1/34. 1/4
If two dice are thrown simultaneously then find the probability that the sum of the numbers coming up on them is 11, given that the number 5 always occurs on the first dice.1. 1/32. 1/363. 1/124. 1/6
Let A and B be two events such that \(\rm P\left( \overline{A\cup B} \right)=\frac{1}{6}\), \(\rm P\left( A\cap B \right)=\frac{1}{4}\) and \(\rm P\left( \overline{A} \right)=\frac{1}{4}\), where A̅ is the complementary event of A. Then A and B are:1. Equally likely but not independent.2. Equally likely and mutually exclusive.3. Mutually exclusive and independent.4. Independent but not equally likely.
A bag has 10 red balls, 5 green balls and ‘x’ yellow balls. If the probability of drawing 2 red balls from the bag is 13/57 more than the probability of drawing 2 yellow balls then find total balls in the bag?1. 152. 253. 204. 195. 30
1/5th of cistern can be emptied in 2 hours. Calculate what percentage of tank was filled if it takes 6 hours to empty that amount of tank1. 25% 2. 60%3. 50%4. 40%5. 45%
Two fair dice are rolled. What is the probability that the total score is a prime number?1. \(\dfrac{1}{6}\)2. \(\dfrac{5}{12}\)3. \(\dfrac{1}{2}\)4. \(\dfrac{7}{9}\)
A random variable X has the distribution law as given below:X123P(X = x)0.30.40.3The variance of the distribution is:1. 0.42. 0.63. 0.24. None of these

One card is drawn from a pack of well shuffle cards. what will be the probability of a diamond card?1. 1/82. 1/43. 1/54. 1/65. 1/2

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment