Two dice are rolled simultaneously. Quantity 1: Probability that the sum of the numbers appearing is a multiple of 5. Quantity 2: \(\frac{1}{6}\)

Quantity 1 > Quantity 2
Quantity 1 ≥ Quantity 2
Quantity 2 > Quantity 1
Quantity 2 ≥ Quantity 1

Correct answer: Quantity 1 > Quantity 2

Solution

The sums that are multiples of 5 are 5 and 10. Sum 5 occurs in 4 ways and sum 10 occurs in 3 ways, so the probability is 7/36. Since 7/36 is greater than 1/6, Quantity 1 is greater.

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