The Oakdale High School Speech and Debate Club hosted its annual car wash fundraiser. Each club memb

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The Oakdale High School Speech and Debate Club hosted its annual car wash fundraiser. Each club member brought a bottle of car wash soap, so there were 8 total bottles. 6 of the bottles contained orange soap. If a club member randomly selects 5 bottles to pour into the first soap bucket, what is the probability that all of them contain orange soap?

This is assumed to be draw without replacement, so we have:

  • Draw 1: 6/8
  • Draw 2: 5/7
  • Draw 3: 4/6
  • Draw 4: 3/5
  • Draw 5: 2/4
    • Since they are independent events, we multiply:
    6/8 * 5/7 * 4/6 * 3/5 * 2/4
    (6 * 5 * 4 * 3 * 2)/(8 * 7 * 6 * 5 * 4)
    720/6720
    0.1071

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