Question

video lesson 5.1 example 1 - finding a sample space

1. you spin this spinner and flip a coin. how many possible

outcomes are in the sample space? list the possible outcomes.

Explanation:

Step1: Determine spinner outcomes

The spinner has 4 sections: 1, 2, 3, 4. So spinner outcomes: {1, 2, 3, 4}.

Step2: Determine coin outcomes

A coin flip has 2 outcomes: Heads (H), Tails (T).

Step3: Find sample space size

Use multiplication principle: \( 4 \times 2 = 8 \) total outcomes.

Step4: List all outcomes

Pair each spinner number with H and T:
(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T).

Answer:

There are 8 possible outcomes. The sample space is \(\{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T)\}\).