Question

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

Answer 1

A is the correct answer.

Answer 2

Answer: First Option is correct i.e.
`^9C_3(0.5)^3(0.5)^6`

Explanation:

Since we have given that

Number of times Aron flips a penny = 9 times

Number of heads getting by him exactly = 3

Probability of getting a head (success) is given by

`(1)/(2)`

Probability of getting a tail ( failure ) is given by

`(1)/(2)`

So, 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`

Hence, First Option is correct i.e.
`^9C_3(0.5)^3(0.5)^6`