CAIE S1 2019 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
TopicConditional Probability
TypeFinding unknown probability from total probability

1 When Shona goes to college she either catches the bus with probability 0.8 or she cycles with probability 0.2 . If she catches the bus, the probability that she is late is 0.4 . If she cycles, the probability that she is late is \(x\). The probability that Shona is not late for college on a randomly chosen day is 0.63 . Find the value of \(x\).