Probablility

There are 4 cardio stations and six weight lifting stations at the gym. You decide to chose 4 stations randomly for today's workout. Whats the probability that you choose all weight lifting or all cardio?

asked by Caroline
  1. I assume you never use the same machine twice

    first cardio = 4/10 = 2/5
    second = 3/9 =1/3
    third = 2/8 = 1/4
    fourth = 1/7

    product = 2/5 *1/3*1/4*1/7

    = 1/210
    now weight
    first =6/10 = 3/5
    second = 5/9
    third = 4/8 = 1/2
    fourth = 3/7
    product = 3/5 * 5/9 * 1/2 * 3/7
    =1/14
    so
    1/210 + 1/14 =1/210 + 15/210
    = 16/210
    = 8/105 = .0762

    posted by Damon

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