139k views
2 votes
A coin is tossed 5 times in a row. What is the size of the sample space of this experiment?

User Dishan TD
by
8.5k points

2 Answers

1 vote

the answer is 32.

you get this by raising 2 to the 5th power

User Dmitry Uvarov
by
7.1k points
5 votes

Answer:

Therefore, Size of the sample space = 32

Explanation:

Number of times a coin is tossed up = 5

Number of possible outcomes in a toss of a coin = 2 ( Head or a Tail)

The sample space can be calculated by calculating total number of possible outcomes in 5 tosses of the coin.

Number of outcomes in 1 toss of a coin = 2

Number of outcomes in 2 tosses of a coin = 2 × 2

Number of outcomes in 3 tosses of a coin = 2 × 2 × 2

Number of outcomes in 4 tosses of a coin = 2 × 2 × 2 × 2

Number of outcomes in 5 tosses of a coin = 2 × 2 × 2 × 2 × 2

⇒ Total number of outcomes = 32

Therefore, Size of the sample space = 32

User MattWhilden
by
8.7k points