A ceramic jar contains five red balls, three blue balls and six green balls. You

Question

A ceramic jar contains five red balls, three blue balls and six green balls. You draw balls from this jar without replacement. Give your answer in fraction form and decimal form.

a.) What is the probability that the first ball drawn is green?

b.) What is the probability that the second ball drawn is also green?

c.) What is the probability that the second ball drawn is blue given that the first ball drawn was green?

d.) What would be the probability that second ball drawn is green if you did the drawing with replacement?

Explanation / Answer

a)

Prob = 5C0 * 3C0 * 6C1 / 14C1 = 0.4286

b)

Prob = 0.4286 * 6C1 / 13C1 = 0.1978

c)

Prob = 3C1 * 5C1 / 14C2 = 0.1648

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