Asked by Sabrina

The Sorry State Lottery requires you to select 7 different numbers from 0 through 55. (Order is not important.) You are a Big Winner if the 7 numbers you select agree with those in the drawing, and you are a Small-Fry Winner if 6 of your 7 numbers agree with those in the drawing. (Round all answers to three significant figures. Enter the answers in scientific notation.)



What is the probability of being a Big Winner?


What is the probability of being a Small-Fry Winner?


What is the probability that you are either a Big Winner or a Small-Fry winner?

Answers

Answered by PsyDAG
The probability of picking the first number correctly is 1/56, since zero is included. Since the numbers are not replaced, the probability of the second is 1/55, the third, 1/54 and so on.

The probability of all events occurring is obtained by <I>multiplying</I> the individual probabilities.

The probability of either one event or another occurring is found by <I>adding</I> the probability of the individual events.

I hope this helps. Thanks for asking.

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