Prime sum of white and red balls

High school · ●●○○○ 20 pts

A bag contains 6 red balls and 8 white balls. Five balls are taken at random and placed in box

A

, and the remaining 9 balls are placed in box

B

. Find the probability that the sum of the number of white balls in box

A

and the number of red balls in box

B

is not a prime number. Round to four decimal places.