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The outcome of an experiment is the number of resulting heads when a 5c coin and a 10c coin are flipped simultaneously. What is the sample space for this experiment?Group of answer choices{HH, HT, TH, TT}{0, 1, 2}{HH, HT, TT}{5c, 10c}

Question

The outcome of an experiment is the number of resulting heads when a 5c coin and a 10c coin are flipped simultaneously. What is the sample space for this experiment?Group of answer choices{HH, HT, TH, TT}{0, 1, 2}{HH, HT, TT}{5c, 10c}

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Solution

The sample space for this experiment is {HH, HT, TH, TT}.

Here's why:

In this experiment, we are flipping two coins simultaneously. Each coin has two possible outcomes: heads (H) or tails (T).

  1. The first coin (5c) could land on heads and the second coin (10c) could also land on heads. This outcome is represented as 'HH'.
  2. The first coin (5c) could land on heads and the second coin (10c) could land on tails. This outcome is represented as 'HT'.
  3. The first coin (5c) could land on tails and the second coin (10c) could land on heads. This outcome is represented as 'TH'.
  4. Both coins could land on tails. This outcome is represented as 'TT'.

So, the sample space, which includes all possible outcomes of this experiment, is {HH, HT, TH, TT}.

This problem has been solved

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