Two people each flip a coin thee times. a) What is the probability that both of them will get exactly two head? b) What is the probability that one of them will get no heads and the other will get three head?

The answer is is as follows

A) The probability that both of them will get exactly two head = 7/16

B) The probability that one of them will get no heads and the other will get three head = 7/512

Step-by-step explanation:

Let The number of possible outcomes we get when two people flip a coin three times be n (s).

n (s) = 2∧3*2∧3=2∧6.

and let the number of required outcome be n (A).

n (A) = 8C2 (because of arrangement of heads or tail is not important.

then the

(a) probability that both parties will get Exactly 2 heads is

8C2:2∧6

=7/16.

Also (b) The probability that one will get no heads and the other will get three heads is 8C3:2∧6*8C8:2∧6=7/8*1/64

=7/512