13. At a school fair, the spinner represented in the accompanying diagram is spun twice. What is the probability that it will land in section G the first time and then in section B the second time?
Q. 13. At a school fair, the spinner represented in the accompanying diagram is spun twice. What is the probability that it will land in section G the first time and then in section B the second time?
Determine Total Sections: First, we need to determine the total number of sections on the spinner. Without the accompanying diagram, we cannot know the exact number of sections. However, for the purpose of this example, let's assume that the spinner is divided into 8 equal sections, with one section labeled G and one section labeled B.
Calculate Probability of G: Next, we calculate the probability of the spinner landing on section G on the first spin. Since there is only one section G out of 8 total sections, the probability is 81.
Calculate Probability of B: Now, we calculate the probability of the spinner landing on section B on the second spin. Assuming that the outcome of the first spin does not affect the second spin (the spinner is fair and has no memory), the probability remains the same for the second spin. Therefore, the probability of landing on section B is also 81.
Find Combined Probability: To find the combined probability of both events happening in sequence (landing on G first and then on B), we multiply the probabilities of the two independent events. Probability of G then B = (Probability of G) × (Probability of B) = 81×81 = 641.
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