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An employee at a department store is stocking cell phone cases. He has a box of 80 cases; among the 80 cases, 40 are black, 10 are white, and 30 are pink.
If he reaches into the bag randomly and removes one at a time, what is the probability that the first three cases are all pink? HE DOES NOT REPLACE THE CASES ONCE REMOVED!

Answer :

MrRoyalgo

The probability that the first three cases are all pink is the likelihood of the selection

The probability that the first three cases are all pink is 0.0494

How to determine the probability?

The given parameters are:

Total = 80

Black = 40

White = 10

Pink = 30

Since the selection are without replacements, then the sequence of the three cases of pink are:

  • 30 pink from a total of 80
  • 29 pink from 79
  • 28 pink from 78

The probability is then calculated as:

P = 30/80 * 29/79 * 28/78

Evaluate

P = 0.0494

Hence, the probability that the first three cases are all pink is 0.0494

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