Question

17. Lyndsey is at basketball practice preparing to shoot free throws. The probability of Lyndsay

making a free throw is 82%. What is the probability that she makes her first free throw on the
third shot?
O 0.027
O 0.049
O 0.078
O 0.127

Answer 1

Probabilty that Lindsay makes her first free throw on the third shot
`=0.027`

Explanation:

Given:

Probability of Lindsay making a free throw
`=82\% =(82)/(100)=0.82`

To find probability of Lindsay making her first free throw in the third shot.

If Lindsay makes her first free throw on the third shot then its means the first two shots must have been unsuccessful ones.

Probability of Lindsay not making a free throw
`1-0.82=0.18`

First shot ⇒
`P(unsuccessful)=0.18`

Second shot ⇒
`P(unsuccessful)=0.18`

Third shot ⇒
`P(successful)=0.82`

∴ Probabilty that Lindsay makes her first free throw on the third shot
`=0.18*0.18*0.82=0.027`