math statistic

In Megabucks, a player who correctly chooses five out of the six winning numbers gets $400. What is the probability of winning $400?

Answer is 0.0000924 in the book but I really don't know where I'm doing mistake.

my work is = 6!/5!(1!) combination

Thank you so so much for your help!!!!

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asked by Lucas
  1. I would have to know how many numbers I can pick from in Megabucks, you didn't say

    I will assume I can choose from 48 different numbers

    prob(win) = 1/48
    prob(not win) = 47/48

    so you want C(6,5)(1/48)^5 (47/48)^1
    = .000000023

    which is not the given answer.
    My answer is based on the fact there are 48 numbers to choose from. Make the appropriate changes once you know how many numbers we pick from

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    posted by Reiny
  2. Hey Lucas,

    36C1 * 5/ (36C5) = 0.0000924

    This is giving me correct answer.

    I know, its very late for you. It could be helpful for someone else.

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    posted by Nikita

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