Question

How many items are in the sample space when flipping a coin and spinning a wheel with 3 equal parts?

Answer 1

The sample space, representing all possible outcomes when flipping a coin and spinning a wheel with 3 equal parts, consists of 6 items: {HH, HT, TH, TT} for the coin outcomes combined with each wheel outcome.

To determine the sample space, we need to consider all possible outcomes of flipping a coin and spinning a wheel with 3 equal parts.

1. Coin Flip: There are two possible outcomes - heads (H) or tails (T).

2. Wheel Spin: There are three possible outcomes as the wheel has 3 equal parts.

To find the total number of outcomes for the combined experiment (flipping a coin and spinning a wheel), we multiply the number of outcomes for each individual experiment:

`\[ \text{Total Outcomes} = \text{Number of Coin Outcomes} * \text{Number of Wheel Outcomes} \]\[ \text{Total Outcomes} = 2 * 3 = 6 \]`

So, there are 6 items in the sample space when flipping a coin and spinning a wheel with 3 equal parts.