Question

OFFERING 50 POINTS

SELECT ALL THAT APPLY

A coin is flipped and a number cube is rolled. Which of the following are true?

OPTIONS:
Heads and an even number are very likely.

The sample space has 12 different outcomes.

The sample space has 8 different outcomes.

Each result is equally likely.

Answer 1

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

: Option B

Answer 2

Option B, The sample space has 12 different outcomes

Explanation:

Step 1: Determine which of the following is true

Option A → Heads and an even number are very likely outcomes → This is false, although both of these can occur they don't occur "very likely"

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

Option C → The sample space has 8 different outcomes → This is false because it doesn't follow the rules of finding the sample space.

Option D → Each result is equally likely → This is false because a coin flipped can land on heads or tails which is 50% while a number cube is usually between 1-6 meaning that there is a 16.667% chance of landing on a number.

Answer: Option B, The sample space has 12 different outcomes