Pam and Robin each roll a pair of fair, six-sided dice. What is the probability that Pam and Robin will both roll the same set of two numbers?
A. 1/216
B. 1/36
C. 5/108
D. 11/216
E. 1/18
OA D
Source: Veritas Prep
Pam and Robin each roll a pair of fair, six-sided dice. What is the probability that Pam and Robin will both roll the
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There are \(2\) cases:BTGmoderatorDC wrote: ↑Sun May 14, 2023 5:02 pmPam and Robin each roll a pair of fair, six-sided dice. What is the probability that Pam and Robin will both roll the same set of two numbers?
A. 1/216
B. 1/36
C. 5/108
D. 11/216
E. 1/18
OA D
Source: Veritas Prep
1. Both dices show the same number, so it's \(6\) out of \(36\). Then for the other player the probability to roll the same number is \(1/6 \times 1/6\).
2. There are \(30\) out of \(36\) options for the dices to be different numbers. The probability for the other player to roll the same is \(2/6 \times 1/6\).
Probability \(= 1/6 \times 1/6 \times 1/6 + 5/6 \times 2/6 \times 1/6 = 11/216\)
Therefore, D