Question

A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 2 plums, 3 cherries, and 3 oranges. Suppose you spin the wheels and one of the 13 symbols on each wheel is selected. Find the probabilities and leave your answers in decimal form. (Round your answers to four decimal places.)

Answer 1

Answer:

Step-by-step explanation:

Given

there are 13 symbols in slot machines i.e. 1 bar , 2 lemons , 2 bells ,2 plums ,3 cherries , 3 oranges

there are Total of 3 machines

Probability of getting bar in machine is $\frac{1}{13}$

Probability of getting 3 bar on 3 machine$=\frac{1}{13} \times\frac{1}{13}\times \frac{1}{13}=\frac{1}{2197}=0.0004$

Probability of getting an orange$=\frac{3}{13}$

Probability of getting 3 oranges  on 3 machine$=\frac{3}{13} \times\frac{3}{13}\times \frac{3}{13}=\frac{27}{2197}=0.0122$

Probability of getting a Plum$=\frac{2}{13}$

Probability of getting 3 Plums  on 3 machine$=\frac{2}{13} \times\frac{2}{13}\times \frac{2}{13}=\frac{8}{2197}=0.0036$