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    Calculating Probabilities in a Powerball Lottery Game

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    Powerball is a lottery game. It involves choosing five white balls from a drum containing 55 balls and one red ball from a drum containing 42 balls. A player must match all five white balls and the red ball to win the jackpot.

    How would you investigate the question about the probability of matching only the red ball?

    What statistical methods in this chapter would you use?
    Combination method
    nCr = n! / (n-r!) *r!

    Show the calculations you would use to answer the question.

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    Let A be the event "none of the white balls match" and B be the event "the red ball matches". ...

    Solution Summary

    The solution shows how to calculate probabilities using combinations.