Probability1)In summer the probability of a wet day is 0.25.On a wet day, the probability of wind is 0.2.On a dry day, the probability of wind is 0.4.You may assume that the weather each day is independent of the weather the day before.

(a) Copy and completethe tree diagram below.

(b)When it is wet andwindy, concerts have to be postponed until the next day.Find the probability that Monday's concert

(i)has to be postponed,

(ii)takes place on Tuesday.

(c)Sailing boats can only sail on a windy day.Find .the probability that they cannot sail on Monday.

(d)On a dry day with no wind, the probability that the temperature is more than 30 C is0.9.On a wetorwindy day this will not happen. Find

(i)the probability that the temperature is more than 30 C on Monday.

(ii)the probability that on Monday, Tuesday and Wednesday the temperature is morethan 30 C.