Question

What is the answer to the following question and how do you solve it? "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

The probability of rolling doubles three times in succession in Monopoly is 1/216. This is calculated by multiplying the probability of rolling doubles in a single roll (1/6) three times .

Step-by-step explanation:

The student has asked what the probability is of rolling doubles 3 times in succession in the game of Monopoly. To solve this, we need to calculate the probability of rolling doubles on a single roll and then find the probability of this event happening three times.

When rolling two six-sided dice, there are 6 ways to roll doubles (both dice showing 1, 2, 3, 4, 5, or 6), out of a total of 36 possible outcomes (6 sides on the first die times 6 sides on the second die). So, the probability of rolling doubles on a single roll is 1/6.

The events are independent, meaning the outcome of one roll does not affect the outcome of the next roll. To find the probability of rolling doubles three times in a row, we multiply the probabilities of each individual event happening:

(1/6) * (1/6) * (1/6) = 1/216.

Therefore, the probability of rolling doubles three times in succession is 1/216.