Question

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

Explanation:

Step1: Determine possible outcomes per toss

A coin has 2 possible outcomes (heads or tails) per toss.

Step2: Calculate sample space size for 5 tosses

For independent events, the total number of outcomes (size of sample space) is calculated by raising the number of outcomes per event to the power of the number of events. So for 5 tosses, it's \(2^5\).
\(2^5 = 2\times2\times2\times2\times2 = 32\)

Answer:

D. 32