Probability of independent events: Decimal answers

Question

A spinner has 20 equally sized sections, 12 of which are green and 8 of which are blue. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on green and the coin toss is heads?

Do not round your answer.

Answer 1

Hello! When we are calculating the probability of independent events, the probability that both event A (spinner lands on green) AND event B (coin lands on heads) occur is the probability of event A multiplied by the probability of event B.

In this case, the probability of what we are calling event A (spinner on green) is 12/20 = 0.6.

The probability of what we are calling event B (heads) is 1/2 = 0.5

Thus, the probability of both of these happening on the first try is 0.6*0.5 = 0.3