Question

Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?

Answer 1

`^ 9 C _ 3 ( 0 . 5 ) ^ 3 ( 0 . 5 ) ^ 6`

Explanation:

We know that Aron flips a penny 9 times and gets exactly 3 heads .

Probability of getting a head or a tail is
`\frac { 1 } { 2 }`.

Here, we need to find the probability of getting exactly 3 heads:

`P(x=3)=^9C_3((1)/(2))^3* (1)/(2)^6\\\\P(x=3)=^9C_3(0.5)^3* (0.5)^6\\\\P(x=3)=(9!)/(3!\tiems 6!)* (0.5)^9\\\\P(x=3)=0.16`

So the expression representing this situation will be:

`^ 9 C _ 3 ( 0 . 5 ) ^ 3 ( 0 . 5 ) ^ 6`