A bag contains 6 red balls and 7 green balls. You plan to select 4 balls at random. Determine the pr

Discussion in 'Calculator Requests' started by math_celebrity, Mar 1, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A bag contains 6 red balls and 7 green balls. You plan to select 4 balls at random. Determine the probability of selecting 4 green balls.

    Assuming draw without replacement of the balls, we have:
    1. Selection 1: 7 green out of 13 balls
    2. Selection 2: 6 green out of 12 balls
    3. Selection 3: 5 green out of 11 balls
    4. Selection 4: 4 green out of 10 balls
    Since each draw is independent, we multiply each probability of green:
    P(GGGG) = 7/13 * 6/12 * 5/11 * 4/10
    P(GGGG) = 840/17,160
    P(GGGG) = 0.05
     

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