Hi;

Jean always goes to work by bus or taxi,If one day she goes to work by bus the probability

that she goes by taxi the next day is 0.4,If one day she goes by taxi the probability she goes by bus the next day is 0.7

Given that on monday she goes by bus,Whats the probabilty she goes by taxi on wednesday.

What I have

On monday she has an equal chance of taxi or bus probabilty=0.5each

On tuesday she has a 0.4 probability by taxi and 0.6 by bus but we don,t know which she took.

If she took the bus she has a 0.4 probability by taxi and 0.6 probability by bus

If she took a taxi she has a 0.7 probability by bus and a 0.3 probabity by taxi.

Stuck here

Do I add the probabilities of the wednesday ie 0.4(taxi) + 0.3(taxi) and just divide them by 2?