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7. a standard six - sided die is rolled. 7a list all the even numbers t…

Question

  1. a standard six - sided die is rolled.

7a list all the even numbers that can be rolled.
in ascending order: 2, 4, 6
5 nice work!
7b list all the factors of 6 that can be rolled.
in ascending order: 1, 2, 3, 6
5 you got it!
7c what is the probability of rolling an even number or a factor of 6?
probability = enter your next step here

Explanation:

Step1: Identify possible outcomes

A standard die has 6 faces: \(1, 2, 3, 4, 5, 6\).

Step2: Find numbers that are even or factor of 6

From 7a, even numbers: \(2, 4, 6\). From 7b, factors of 6: \(1, 2, 3, 6\). Combine and remove duplicates: \(1, 2, 3, 4, 6\) (5 outcomes).

Step3: Calculate probability

Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}=\frac{5}{6}\).

Answer:

\(\frac{5}{6}\)