What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?

Solutions

Expert Solution

we assume that marbles are not returned after drawn here.

Draw 1: 5 reds out of 15 marbles: 5/15

Draw 2: 4 reds out of 14 marbles: 4/14

Draw 3: 6 blues out of 13 marbles: 6/13

Draw 4: 4 yellows out of 12 marbles: 4/12

Draw 5: 3 yellows out of 11 marbles: 3/11

Hence, the probability is

5/15⋅4/14⋅6/13⋅4/12⋅3/11=4/1001

Hence, the probability is

5/15⋅4/14⋅6/13⋅4/12⋅3/11=4/1001

khuku guchhait answered 2 years ago

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