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: [tex]2^7[/tex]
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:
[tex](^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[/tex]
Hence, the probability the number of heads will be even is 0.4922.
