Question

A coin is tossed 2 times. The outcome of interest is the number of tails. How many outcomes are contained in the appropriate sample space?

Answer 1

When a coin is tossed 2 times, there are a total of $2^2 = 4$ possible outcomes in the sample space. Each toss can result in either head (H) or tails (T), so the sample space can be represented as follows: {HH, HT, TH, TT}.

In this case, the outcome of interest is the number of tails. There are 3 possible values for the number of tails: 0, 1, or 2. The outcomes corresponding to each of these values are:

- 0 tails: {HH}

- 1 tail: {HT, TH}

- 2 tails: {TT}

So, there are a total of 3 outcomes in the sample space that correspond to the number of tails when a coin is tossed 2 times.

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