SOLUTION: Five numbers are to be selected at random (without replacement) from the 10 digits in the numerical system. Determine the probability that the five numbers selected are less than e

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Question 765967: Five numbers are to be selected at random (without replacement) from the 10 digits in the numerical system. Determine the probability that the five numbers selected are less than eight.
Answer by solver91311(24713) About Me  (Show Source):
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The probability that the first number is less than 8 is given by 8 successes diveded by ten possibilities.

Then, given that the first number was less than 8, there are then 7 successes out of 9 possibilities since this is a without replacement experiment.

Then 6 of 8, and so on.

The overall probability is the product of the probabilities:



You can do your own arithmetic. Hint: If you do enough cancelling, you don't have to do ANY multiplying.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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