Question

A bag contains 6 red, 5 white, and 8 blue marbles. Find the probability of picking...

A bag contains 6 red, 5 white, and 8 blue marbles. Find the probability of picking 3 white marbles if each marble is NOT returned to the bag before the next marble is picked. Include several decimal places, or round to the nearest fourth decimal place.

Homework Answers

Answer #1

It is given that each marble is NOT returned to the bag before the next marble is picked.

So first white marble has to be choosen from 5 white marbles. After picking first white marble, bag will have 4 white marble, so second white marble has to be choosen from 4 white marble. After picking second white marble, first white marble has to be put back into bag, so bag will have again 4 white marble. Hence, third white marble has to be choosen from again 4 white marble.

So, chance of picking first white marble = 5 / 19

  chance of picking second white marble= 4 / 18

chance of picking third white marble = 4 / 18

Hence probability of picking 3 white marbles = (5/19) * (4/18) * (4/18)

= 0.01299545159

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