A roulette wheel has 32 slots around the rim; 30 slots are numbered from 1 to 30. Half of these 30 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equality likely chance of falling into any one of the 32 slots. Find the probabilities of the events listed in parts (a) through (d) below.

a. Ball lands in a black slot The probability of the event that the ball lands in a

black slot is

enter your response here.

(Type an integer or a simplified fraction.)

b. Ball lands on 0or27The probability of the event that the ball lands on

0or27 is

enter your response here.

(Type an integer or a simplified fraction.)

c. Ball does not land on a number from 7 through 17 The probability of the event that the ball does not land on a number from 7 through 17 is

enter your response here.

(Type an integer or a simplified fraction.)

d. Ball lands on an odd number or on a green slotThe probability of the event that the ball lands on an odd number or on a green slot is enter your response here.

(Type an integer or a simplified fraction.)