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The probability of choosing two orange balls without replacement is 135 , and the probability of choosing one orange ball is 15 .

What is the probability of drawing a second orange ball, given that the first ball is orange?




1/7

11/75

2/7

1/6

2 Answers

2 votes

Answer: 1/7

Explanation:

The probability of choosing two orange balls without replacement is 135 , and the-example-1
User Dmitry Sheiko
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Answer:The probability of drawing a second orange ball, given that the first ball is orange is 1/7


Explanation:

let A be the event of choosing one orange ball and B be the event of choosing second orange ball.

Given probability of choosing one orange ball is 1/5 i.e. P(A)=1/5

probability of choosing two orange balls without replacement is 1/35

i.e. P(A and B)=1/35

As both events are not independent then probability of drawing a second orange ball, given that the first ball is orange= P(B|A)=P(A and B)/P(A)=
((1)/(35) )/((1)/(5) ) =(5)/(35) =(1)/(7)

therefore,the probability of drawing a second orange ball, given that the first ball is orange is 1/7.

User Mackintoast
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