22 -- In a group of 150 students, 40 bought only a ticket for film ``A'' and 75 bought only a ticket for film ``B''. If $P(A)$ and $P(B)$ are respectively the probabilities of buying a ticket for films ``A'' and ``B'', what is the maximum value of $\dfrac{P(A)}{P(B)}$?
(1) $\dfrac{15}{29}$ (2) $\dfrac{38}{45}$ (3) $\dfrac{8}{15}$ (4) $\dfrac{15}{22}$

The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three successful hits are required. Then the minimum number of missiles that have to be fired so that the probability of completely destroying the target is NOT less than 0.95, is $\_\_\_\_$

A bag contains nine balls numbered from 1 to 9. Ayşe will choose a number from 1 to 9 and then draw a ball randomly from the bag. Ayşe wins the game if the sum of the number on the ball and the number she chose is at most 9 and their product is at least 9.
Which number should Ayşe choose so that her probability of winning the game is highest?
A) 2
B) 3
C) 4
D) 5
E) 6