An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a black chip with an odd number is 1/4 . The probability of selecting a black chip is 2/3
.
What is the probability of selecting a chip with an odd number given that the chip is black?
(Answer as a simplified fraction please)
Let P(Black) = 2/3
Let P(Black and Odd) = 1/4
And we are trying to find P( Black and Odd I Black)
So....
P( Black and Odd I Black) = P( Black and Odd) / P(Black) =
(1/4) / (2/3) =
(1/4) * (3/2) =
3/8
