Suppose the probability that you pass our driving test is 08

Suppose the probability that you pass our driving test is 0.80 and the probability you win at balck jack is 0.01. The probability that you pass the drive test and win at black jack is ________.

Question: If the events are independent, what is P(you win at black jack | you pass the drive test)? Show your work.

Solution

P(both) = 0.8*0.01 = 0.008 (due to independence)

P(you win at black jack | you pass the drive test) = P(win black jack) = 0.01 (using independence)