A jar contains 10 marbles, 5 red, 4 green, and 1 yellow marble. Two marbles will

Question

A jar contains 10 marbles, 5 red, 4 green, and 1 yellow marble. Two marbles will be removed from the jar without replacement. What is the probability the first marble will be green and the second marble will be red? Enter answer as a faction (original or a reduced fraction) or as a decimal rounded to 3 decimal places with a 0 to the left of the decimal point. If appropriate enter answer as an integer. Do not enter answer as a percent. What is the probability that one marble will be a green and the other marble is red? Enter answer as a faction (original fraction or a reduced fraction) or as a decimal rounded to 3 decimal places with a 0 to the left of the decimal point. If appropriate enter answer as an integer. Do not enter answer as a percent.

Explanation / Answer

There are total 20 marbles in a jar.
Selecting 2 marble from these can be done in 20C2 wyas = 190

First marble green and second red can be selected in 4C1*5C1 = 20 ways

hence probability = 20/190 = 0.1053

Probability that one marble will be a green and other is red = 2/19 = 0.105

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