We randomly select 4 prime numbers without replacement from the first 17 prime numbers. What is the probability that the sum of the four selected numbers is odd? Express answer in common fraction.

I did this problem as

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,61

(1/17 * 1/16 * 1/15 * 1/14) * 9

I multiplied by I could form sum as odd.

Please correct me. I am not myself sure with the approach.

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We select 5 numbers at random, with replacement, from the set of integers from 1 to 400 inclusive. What is the probability that the product of 5 numbers is even? Answer should be in common fraction.

I guessed my answer:

(1/400)^5

Please guide me in the above problems.

Thanks