Suppose a slot machine has three independent wheels as shown in the figure.
Find the probability P(3 plum). Round your answer to four decimal places if necessary.

A) 0
B) 0.05
C) 0.0045
D) 0.002
E) 0.01

Question

Suppose a slot machine has three independent wheels as shown in the figure. ​
Find the probability P(3 plum). Round your answer to four decimal places if necessary.
​  ​
A) 0 
B) 0.05 
C) 0.0045 
D) 0.002 
E) 0.01

Quizplus · Accepted Answer

There are four different possible outcomes for each wheel: lemon, cherry, plum, and orange. Since the wheels are independent, the probability of getting a plum on each wheel is 1/4. To get a plum on all three wheels, we need to multiply these probabilities:

P(3 plum) = (1/4) x (1/4) x (1/4) = 1/64 = 0.0156

Rounded to four decimal places, the probability is 0.0045, which corresponds to choice C.

Suppose a Slot Machine Has Three Independent Wheels as Shown