QuestionJuly 14, 2025

A spinner has 10 equally sized sections, 1 of which is blue and 9 of which are green. 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. square

A spinner has 10 equally sized sections, 1 of which is blue and 9 of which are green. 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. square
A spinner has 10 equally sized sections, 1 of which is blue and 9 of which are green. 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.
square

Solution
4.7(229 votes)

Answer

\frac{9}{20} Explanation 1. Calculate Probability of Spinner Landing on Green The probability of the spinner landing on green is \frac{9}{10} since there are 9 green sections out of 10. 2. Calculate Probability of Coin Toss Being Heads The probability of the coin toss resulting in heads is \frac{1}{2} because it is a fair coin. 3. Calculate Combined Probability Use the multiplication rule for independent events: **P(A \text{ and } B) = P(A) \times P(B)**. Thus, the probability that the spinner lands on green and the coin toss is heads is \frac{9}{10} \times \frac{1}{2} = \frac{9}{20}.

Explanation

1. Calculate Probability of Spinner Landing on Green<br /> The probability of the spinner landing on green is $\frac{9}{10}$ since there are 9 green sections out of 10.<br /><br />2. Calculate Probability of Coin Toss Being Heads<br /> The probability of the coin toss resulting in heads is $\frac{1}{2}$ because it is a fair coin.<br /><br />3. Calculate Combined Probability<br /> Use the multiplication rule for independent events: **$P(A \text{ and } B) = P(A) \times P(B)$**. Thus, the probability that the spinner lands on green and the coin toss is heads is $\frac{9}{10} \times \frac{1}{2} = \frac{9}{20}$.
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