Skittles come in yellow, orange, purple and green. Assume that you have three ja

Question

Skittles come in yellow, orange, purple and green. Assume that you have three jars of Skittles with the following color compositions:

Jar 1 100 yellow and 400 green

Jar 2 200 orange and 300 green

Jar 3 50 purple and 450 green

If you select one Skittle from each jar without looking, determine the probability of obtaining

a. one yellow, one orange and one purple Skittle.

b. one orange and two green Skittles.

c. at least one green Skittle.

d. two green Skittles and one alternate color Skittle.

e. one orange, one purple and one green Skittle.

Explanation / Answer

a) P(1yellow, 1orange, 1purple) = 100 * 200 * 50/1800C3 = 0.001

b) P(1orange and 2 green) = 200 * 400 * 450/1800C3 = 0.037

c) P(at least one green) = (400 * 200 * 350 + 100 * 300 * 350 + 100 * 200 * 450 + 400 * 300 * 350 + 300 * 450 * 100 + 400 * 450 * 200 + 400 * 300 * 450)/1800C3 = 0.1989

d) P(two green and one alternate color) = (400 * 300 * 350 + 300 * 450 * 100 + 400 * 450 * 200)/1800C3 = 0.0943

e) P(1orange, 1purple, 1 green) = (200 * 350 * 400 + 200 * 350 * 300 + 200 * 350 * 450)/1800C3 = 0.083

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