Question 390988:
In chapter six, we performed an activity where we spun a spinner three times to create a three-digit number. The possible numbers we could spin were 1, 2 and 3.
We did a simulation on finding the probability that at least one of the three digits would come up in the correct position (1 in the first digit, 2 in the second, 3 in the third -- For example, '322' has one number correct).
Find the theoretical probability that at least one number comes up in the correct position.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In chapter six, we performed an activity where we spun a spinner three times to create a three-digit number. The possible numbers we could spin were 1, 2 and 3.
We did a simulation on finding the probability that at least one of the three digits would come up in the correct position (1 in the first digit, 2 in the second, 3 in the third -- For example, '322' has one number correct).
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Find the theoretical probability that at least one number comes up in the correct position.
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P(at least one in correct position) = 1 - P(none in correct position)
= 1 - (2/3)^3
= 1 - 8/27
= 19/27
= 0.704
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Cheers,
Stan H.
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