In a probability context, which of the following describes a prime number when rolling a pair of dice?

In a probability context, which of the following describes a prime number when rolling a pair of dice?

• A. 2, 3, 5
• B. 2, 3, 5, 7, 11
• C. 2, 4, 6, 8, 10
• D. 1, 3, 5, 7

Answer: (B)

The correct choice identifies a prime number as it relates to the total number of outcomes possible when rolling a pair of dice. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. When rolling two six-sided dice, the possible sums range from 2 (1+1) to 12 (6+6). The prime numbers within this range are 2, 3, 5, 7, and 11. Each of these numbers meets the criteria for prime numbers: - 2: Divisors are 1 and 2. - 3: Divisors are 1 and 3. - 5: Divisors are 1 and 5. - 7: Divisors are 1 and 7. - 11: Divisors are 1 and 11. Collectively, this set accurately includes all the prime numbers that can appear as sums when rolling two dice. The other options either include non-prime numbers or miss some prime numbers within the defined range. For example, the first option does not include 7 or 11, while the third option lists multiples of 2, which are

The correct choice identifies a prime number as it relates to the total number of outcomes possible when rolling a pair of dice. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself.

When rolling two six-sided dice, the possible sums range from 2 (1+1) to 12 (6+6). The prime numbers within this range are 2, 3, 5, 7, and 11. Each of these numbers meets the criteria for prime numbers:

• 2: Divisors are 1 and 2.

• 3: Divisors are 1 and 3.

• 5: Divisors are 1 and 5.

• 7: Divisors are 1 and 7.

• 11: Divisors are 1 and 11.

Collectively, this set accurately includes all the prime numbers that can appear as sums when rolling two dice. The other options either include non-prime numbers or miss some prime numbers within the defined range. For example, the first option does not include 7 or 11, while the third option lists multiples of 2, which are