Select the correct answer. a coin is tossed 5 times in a row. what is the size of the sample space of this experiment? a. 5 b. 7 c. 10 d. 32

32

Step-by-step 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