A coin is flipped 8 times where each flip comes up either he

A coin is flipped 8 times where each flip comes up either heads or tails. How many possible outcomes:

a. are there in total?

b. contain exactly 3 heads?

c. contain at least 3 heads?

d. contain the same number of heads and tails?

Solution

a.How many possible outcomes are there in total ?

Answer :-

The possible outcomes are in total = 2^8 = 256.

d.How many possible outcomes contain the same number of heads and tails ?

Answer :-

The possible outcomes contain the same number of heads and tails = C(4,4).