Answer:
[tex]\dfrac{14}{75}[/tex]
Step-by-step explanation:
Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be successful is
[tex]\dfrac{6}{15}=\dfrac{2}{5}[/tex]
Jack made 7 out of 15 shots, so the probability that Jack's next shot will be successful is
[tex]\dfrac{7}{15}[/tex]
The probability that they both make their next shot successfully is
[tex]\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}[/tex]