Question

A coin is flipped 8 times. Find the probability of the event: exactly 8 heads

a. 0.004
b. 1
c. 0.0625
d. 0.129​

Answer 1

a) 0.004

The probability of getting exactly 8 heads

P(X=8) = 0.004

Step-by-step explanation:

Step-by-step explanation:-

The probability of getting a Head, p =
`(1)/(2)`

The probability of getting a Tail, q =
`(1)/(2)`

A coin is flipped 8 times

n = 8

Let 'X' be the random variable in a binomial distribution

`P(X=r) = nC_(r) (p )^(r) q^(n-r) \\nc_(n) = 1`

The probability of getting exactly 8 heads

`P(X=8) = 8C_(8) ((1)/(2) )^(8) ((1)/(2) )^(8-8)`

`P(X=8) =((1)/(2) )^(8) = 0.0039`

Final answer:-

The probability of getting exactly 8 heads

P(X=8) =0.0039≅ 0.004