You spin the spinner twice.5678What is the probability of landing on a number greater than 7 and then landing on a number less than 7?Write your answer as a percentage.
Question
You spin the spinner twice.5678What is the probability of landing on a number greater than 7 and then landing on a number less than 7?Write your answer as a percentage.
Solution
The spinner has 8 numbers (1-8).
Step 1: Calculate the probability of landing on a number greater than 7 on the first spin. There is only one number greater than 7, which is 8. So, the probability is 1 out of 8, or 1/8.
Step 2: Calculate the probability of landing on a number less than 7 on the second spin. There are 6 numbers less than 7 (1-6). So, the probability is 6 out of 8, or 6/8, which simplifies to 3/4.
Step 3: Since these are independent events, we multiply the probabilities together to get the overall probability. So, 1/8 * 3/4 = 3/32.
Step 4: Convert this fraction to a percentage. To do this, divide the numerator by the denominator and multiply by 100. So, (3 ÷ 32) * 100 = 9.375%.
Therefore, the probability of landing on a number greater than 7 and then landing on a number less than 7 is 9.375%.
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