The Student Room Group

S1 Probability long question

I need help with two questions please

A boy always either walks to school or goes by bus. if one day he goes to school by bus then the probability that he goes by bus the next day is 7/10. if one day he walks to school then the probability that he goes by the next day is 2/5

a) given that he walks to school on a particular tuesday draw a tree diagram and hence find the probability that he'll go to school by bus on Thursday of that week.

b) given that the boy walks to school on both tuesday and thursday of that week, find the probability that he'll also walk to school on weds

12)

for married couples the probability that the husband has passed is driving test is 7/10 the probability the wife has passed her test is 1/2. the probability the husband has passed given that the wife has passed is 14/15 find the probability that the test is passed by?

A) Both of them
b) only one of them
c) neither of them
The tree diagram is attached.

a) ((3/5)(2/5)) + ((2/5)(7/10)) = 13/25 (see tree diagram a)

b) 3/5 (see tree digram b)