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

Publish date: 2024-05-02
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:

  • Selection 1: 7 green out of 13 balls
  • Selection 2: 6 green out of 12 balls
  • Selection 3: 5 green out of 11 balls
  • 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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