Question

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

Answer 1

sample space is the possible outcomes so in this case the possible outcomes are just head and tails

Answer 2

The size of the sample space of this experiment = 32.

Explanation:

Given: A coin is tossed 5 times in a row.

The possible outcomes when you toss a coin = 2 ( Head or a Tail).

The number of possible outcomes when you tossing a coin = 2 {(H, T), (T, H}

The number of possible outcomes when you tossing 2 times = 2 × 2 = 4

{H, H}{T, T}{H, T}, {T, H}

This can be written as = 2^n (where "n" is the number of times the coin tossed]

Using the formula, we can find the sample space of tossing a coin.

The number of possible outcomes when you tossing 3 times =
`2^(3)`

= 2*2*2 = 8

The number of possible outcomes when you tossing 4 times =
`2^(4)` = 2*2*2*2 = 16

The number of possible outcomes when you tossing 5 times =
`2^(5) = 2*2*2*2*2 = 32`

Therefore, the size of the sample space = 32.