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8. a standard six - sided die is rolled. 8a list all the even numbers t…

Question

  1. a standard six - sided die is rolled.

8a list all the even numbers that can be rolled, in ascending order: 2, 4, 6
8b list all the prime numbers that can be rolled, in ascending order:

Explanation:

Step1: Recall prime number definition

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Step2: Identify numbers on a die

A standard six - sided die has numbers 1, 2, 3, 4, 5, 6.

Step3: Check each number

  • 1: Not a prime (less than 2 and has only one divisor).
  • 2: Prime (divisors 1 and 2).
  • 3: Prime (divisors 1 and 3).
  • 4: Not prime (divisors 1, 2, 4).
  • 5: Prime (divisors 1 and 5).
  • 6: Not prime (divisors 1, 2, 3, 6).

Step4: List primes in ascending order

The prime numbers are 2, 3, 5.

Answer:

2, 3, 5