There are 3 blue balls, 5 red balls, and 2 white balls in a bag of balls. If a person selects two of the balls, what is the probability that the second one is blue given that the first one
Was white?
A) $\frac { 2 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 1 } { 2 }$

Question

There are 3 blue balls, 5 red balls, and 2 white balls in a bag of balls. If a person selects two of the balls, what is the probability that the second one is blue given that the first one
Was white? 
A) $\frac { 2 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 1 } { 2 }$

Quizplus · Accepted Answer

After removing a white ball, there are 9 balls left (3 blue, 5 red, 1 white). The probability of selecting a blue ball next is 3 out of 9, which simplifies to $\frac{1}{3}$.

There Are 3 Blue Balls, 5 Red Balls, and 2 29\frac { 2 } { 9 }92​

There Are 3 Blue Balls, 5 Red Balls, and 2 $\frac { 2 } { 9 }$