Question

A coin is tossed 5 times in a row. What is the size of the sample space of this experiment

Answer 1

Hello there,

Q: A coin is tossed 5 times in a row. What is the size of the sample space of this experiment

A: 32

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Answer 2

Answer:

The size of the sample space is:

                            32

Step-by-step explanation:

We know that when a coin is tossed there are two possible outcomes:

  Head and a Tail

Now for each flip of a coin there are two possible outcomes.

This means that when a coin is tossed " n " times, the total number of outcomes that are possible are:

                                    $2^n$

Since, for each place there are two choices this means that for n places there are:  $2\times 2\times 2\times .......{n\ times}=2^n$ possible outcomes

Here we have: n=5

Hence, the total size of the sample space of this experiment is:

                        $2^5=32$