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

The size of the sample space is:

32

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* 2* 2* .......{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`