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 even number is 1/2 . The probability of selecting a black chip is 3/5 .
What is the probability of selecting a chip with an even number given that the chip is black?
Let A = Probability of selecting a black chip with an even number = (1/2)
Let B = Probabilty of selecting a black chip = (3/5)
P ( A l B ) = P (A) * P(B) (1/2) * (3/5)
___________ = __________ = 1 / 2
This makes sense....we already have a black chip in hand.....there is a (1/2) probability that it has an even number