Question

In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3 times in a row. What is the probability of rolling doubles 3 times in succession? (Enter your probability as a fraction.)

Answer 1

Answer:

The probability of rolling doubles 3 times in succesion is $\frac{1}{216}$

Step-by-step explanation:

To get pairs three times in arrow is necessary to note that each release is an independent event. The probability of rolling doubles one time is:

$\frac{6}{36} =\frac{1}{6}$

Because are six differents forms to obtain pairs.

Such as three releases, we will multiply \frac{1}{6}[/tex]  three times:

$\frac{1}{6} *\frac{1}{6} *\frac{1}{6}$

$\frac{1}{36} *\frac{1}{6}$

$\frac{1}{216}$

Therefore the probability of rolling doubles 3 times in succesion is $\frac{1}{216}$