## Three distinct integers are chosen at random from the first 20 positive integers. Compute the probability that: (a) their sum is even; (b) t

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## Answers ( )

Answer:Step-by-step explanation:There are first 20 positive integers 1,2…20. Three distinct integers are chosen at random.

Total no of ways of drawing 3 integers =

To Compute the probability that: (a) their sum is even

a) Sum can be even if either all 3 are even or 1 is even and 2 are odd.

There are in total 10 odd and 10 even.

Ways of sum even =

Prob =

b) their product is even

Here any one should be even or both

SO no of ways are

=

Prob =