An Unbiased Dia With Faces Marked 1, 2, 3, 4, 5 And 6 Is Rolled Four Times Out Of The Four Faces Obtained, The Probability That The Minimum Value Is Exactly Than 2 And The Maximum Value Is Exactly 5 Is

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Question

An unbiased dia with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times out of the four faces obtained, the probability that the minimum value is exactly than 2 and the maximum value is exactly 5 is

Solution

Correct option is

4/27

Total number of outcomes of 4 dice is 64. We can choose two dice (one for 2 and one for 5) in  ways. We can arrange 2 and 5 at these places in 2 ways. For the remaining two dice, the number of possible outcomes is (4) (4) = 16. Thus, the number of favorable outcomes is  Thus, probability of required event 

                     

SIMILAR QUESTIONS

Q1

The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then P(A’) + P(B’) is

Q2

Three six – faced fair dice are thrown together. The probability that the sum of the numbers appearing on the dice is 

k (3 ≤ k ≤ 8) is

Q3

If the mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes values at most 3 is

Q4

If two events A and B such that P(A’) = 0.3, P(B) = 0.5 and P(A  B) = 0.3, then  is

Q5

Seven white bails and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

Q6

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that two white and one black ball will be drawn is

Q7

There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is

Q8

A group of 2n boys and 2n girls is randomly divided into two equal groups. The probability that each group contains the same number of boys and girls is

Q9

Let A and B be two events such that P(A) = 0.3 and P(A  B) = 0.8. If Aand B are independent events, then P(B) is

Q10

A pair of unbiased dice is rolled together till a sum of either 5 or 7 is obtained. The probability that 5 comes before 7 is