Question

A bucket contains 5 green tennis balls, 7 yellow tennis balls, and 1 red tennis

balls. Tony removes 2 tennis balls, without replacement, from the bucket.
What is the probability that Tony removes 1 yellow, and then 1 green tennis
balls?
Write your answer as a fraction. Ex: 1/2

Answer 1

Answer: 35/156

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Work Shown:

A = probability of getting a yellow ball

A = (number of yellow)/(number total)

A = 7/(5+7+1)

A = 7/13

B = probability of getting a green ball after event A happens, no replacement

B = (number of green)/(number left after the yellow is picked)

B = 5/(13-1)

B = 5/12

A*B = probability of getting yellow followed by green, no replacement

A*B = (7/13)*(5/12)

A*B = (7*5)/(13*12)

A*B = 35/156