Question

Say you flip a coin seven times. What is the probability the number of heads will be even?

Answer 1

Answer:

The probability the number of heads will be even is 0.4922.

Step-by-step explanation:

Consider the provided information.

It is given that coin flip seven times.

Thus, the total number of possible outcomes are: $2^7$

We want heads will be even.

Even numbers are 2, 4, 6.....

Thus, the possible case are: 2 heads, 4 heads or 6 heads.

The required probability is:

$(^7C_2+^7C_4+^7C_6)\times\frac{1}{2^7}=\left(\frac{7!}{2!5!}+\frac{7!}{4!3!}+\frac{7!}{6!1!}\right)\frac{1}{128}\approx 0.4922$

Hence, the probability the number of heads will be even is 0.4922.