Question

2 dice a rolled simultaneously and the product of numbers appearing on them is noted. Find the probability that the product is a prime number.

Answer 1

Answer:1/6

Step-by-step explanation:

there are 36 cases if two dice are rolled

out of those (1,2)(1,3)(1,5)(2,1)(3,1)(5,1) are the only possibilities where their product is a prime number

hence  answer is 6/36 = 1/6

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Answer 2

Answer:6/36 = 1/6

Step-by-step explanation:

Prime numbers are those numbers which are divisible by 1 and itself.

The numbers on the dice are 1,2,3,4,5,6 among which only 2,3 and 5 are prime numbers and they appear as a product six times when two dice are rolled i.e., (1,2)(1,3)(1,5) and (2,1)(3,1)(5,1)

The number of samle save is 36 therefore the answer is 6/36 and is equal to 1/6 on getting reduced by 6.