Suppose that you have a jar containing 100 marbles. Forty of the marbles are red

Question

Suppose that you have a jar containing 100 marbles.

Forty of the marbles are red, 20 of the marbles are blue, 25 of the marbles are white, and 15 of the marbles are yellow.

Assuming that you do NOT replace a marble after removing it from the jar, What is the probability that the first marble selected will be yellow?

If the first marble selected was yellow, what is the probability that the second marble will be yellow?

If the first two marbles selected were yellow, what is the probability that the third marble selected will be red?

Explanation / Answer

Probability that the first selected marble is yellow = number of yellow marbles / total number of marbles = 15/100=0.15.

After the yellow marble is drawn out, there are now 14 yellow marbles and 99 total marbles left in the jar.

With the first drawn marble yellow and not replaced into the jar, the probability that the second selected marble is yellow = no. of yellow marbles left in the jar / total number of marbles left in the jar = 14/99=0.1414

After the 2 yellow marbles are drawn out without replacement, there are now 98 marbles left in the jar.

The probability that the 3rd marble selected will be red = number of red marbles left in the jar / total number of marbles left in the jar = 40/98=0.4082

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