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

Answer:

$\dfrac{14}{75}$

Step-by-step explanation:

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

$\dfrac{6}{15}=\dfrac{2}{5}$

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

$\dfrac{7}{15}$

The probability that they both make their next shot successfully is

$\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}$