You spin the spinner twice.45678What is the probability of landing on a number greater than 6 and then landing on a divisor of 20?Write your answer as a percentage rounded to the nearest tenth.
Question
You spin the spinner twice.45678What is the probability of landing on a number greater than 6 and then landing on a divisor of 20?Write your answer as a percentage rounded to the nearest tenth.
Solution
The spinner has numbers from 4 to 8, so there are 5 possible outcomes each time you spin it.
Step 1: Calculate the probability of landing on a number greater than 6 on the first spin.
There are 2 numbers greater than 6 (7 and 8) on the spinner. So, the probability is 2 out of 5, or 2/5.
Step 2: Calculate the probability of landing on a divisor of 20 on the second spin.
The divisors of 20 are 1, 2, 4, 5, 10, and 20. Only 4 and 5 are on the spinner. So, the probability is 2 out of 5, or 2/5.
Step 3: Calculate the overall probability.
The overall probability is the product of the two individual probabilities, because these are independent events. So, the overall probability is (2/5) * (2/5) = 4/25.
Step 4: Convert the probability to a percentage.
To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. So, (4 ÷ 25) * 100 = 16%.
So, the probability of landing on a number greater than 6 and then landing on a divisor of 20 is 16%.
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