Problem

During a charity Las Vegas Casino Night, Rosle plays craps and gets to roll the dice. Use the sample space for rolling two dice as shown below. Express your answers as reduced fractions.
Find the probability that she rolled a
Part: 0 / 5
Part 1 of 5
(a) Sum of 12 .
The probability that Rosie rolled a sum of 12 is

Answer

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Answer

Final Answer: The probability that Rosie rolled a sum of 12 is \(\boxed{\frac{1}{36}}\).

Steps

Step 1 :Rosie is playing craps and rolls two dice. The sum of 12 can only be achieved if both dice show a 6.

Step 2 :There are 36 possible outcomes when rolling two dice (6 outcomes for the first die times 6 outcomes for the second die).

Step 3 :Therefore, the probability of rolling a sum of 12 is 1 out of 36, because there is only one combination of dice that results in a sum of 12 (6 and 6).

Step 4 :Final Answer: The probability that Rosie rolled a sum of 12 is \(\boxed{\frac{1}{36}}\).

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