Question - Calculating Probability of Spinner Sequence
Solution:
The image shows a question concerning probability from a spinner. The spinner has numbers 5, 6, and 7, and the task is to calculate the probability of first landing on a 6 and then on a 5 after spinning the spinner twice.To solve this, first calculate the individual probabilities of each separate event and then multiply them together since these are independent events.The probability of landing on a 6 on the first spin is:1 out of 3, or 1/3, because there are three possible outcomes and only one of them is a 6.The probability of landing on a 5 on the second spin is:Also 1 out of 3, or 1/3 for the same reason.Now, to find the probability of both events occurring in sequence (landing on a 6 and then on a 5), multiply these two probabilities together:Probability of landing on a 6 and then a 5 = (1/3) * (1/3) = 1/9Therefore, the probability of spinning a 6 first and then a 5 is 1/9.
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