Question

Two dies are thrown simultaneously what is the probability of getting a) Sum of two numbers is an odd number b) Sum of two numbers is an prime number c) Sum of two numbers is multiple of 3 d) Sum of two numbers is an perfect square. ​

Answer 1

Answer:

Total no. of outcomes = Square of tot. outcomes of 1 die

= 6² = 36

NOW,

★ For the sum to be prime no. , the last prime could be 31.

NOW,

Primes till 31

= 2,3,5,7,11,13,17,19,23,29,31.

NOW,

THEREFORE,

11 / 36 ...........★ANS 1★

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★ DOUBLETS OF EVEN NO. = (2,2),(4,4),(6,6).

SO,

ANSWER = 3/36

= 1/12 ..............★ ANS 2 ★

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