Respuesta :
sample space is the possible outcomes so in this case the possible outcomes are just head and tails
Answer:
The size of the sample space of this experiment = 32.
Step-by-step 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 = [tex]2^{3}[/tex]
= 2*2*2 = 8
The number of possible outcomes when you tossing 4 times = [tex]2^{4}[/tex] = 2*2*2*2 = 16
The number of possible outcomes when you tossing 5 times = [tex]2^{5} = 2*2*2*2*2 = 32[/tex]
Therefore, the size of the sample space = 32.
