Misty needs to get doubles on his next role to get out of jail while playing Monopoly. He especially wants to role two 4's to land on a space he wants. What is the probability that Misty gets the role he wants.

Respuesta :

Answer: 1/36

Explanation:

For Misty to get the roll, he wants each dice to have 4.

event A: to get 4 one first dice

event B: To get 4 on second dice

Probability to get 4 on a dice

[tex]P(A)=P(B)= \frac {1}{4}[/tex]

The two events are simultaneous and independent:

The probability that both the dice would have 4 is

[tex]P(A) \times P(B) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}[/tex]

Hence, there is 1/36 probability for Misty to get the roll he wants.