Question

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this performance, what is the probability that they both make their next shot?

Answer 1

`(14)/(75)`

Explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be successful is

`(6)/(15)=(2)/(5)`

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be successful is

`(7)/(15)`

The probability that they both make their next shot successfully is

`(2)/(5)\cdot (7)/(15)=(14)/(75)`