Question

What is the probability that a fair coin lands on heads on 4 out of 5 flips?

Answer 1

`P_((x=4 heads))=0.15625`

Explanation:

`p=0.5`
`q=0.5`

`P_((x=4 heads))= "^nC_xp^xp^(n-x)`
`P_((x=4 heads))= "^5C_4(0.5)^4(0.5)^(5-4)`
`P_((x=4 heads))= =5(0.5)^4(0.5)^1`
`P_((x=4 heads))= =5(0.0625)(0.5)`
`P_((x=4 heads))=0.15625`