Consider Guwahati (G) and Delhi (D) whose temperatures can be classified as High (H), medium (M) and low (L). Let  denote the probability that Guwahati has High temperature. Similarly,  and  denotes the probability of Guwahati having medium and low temperatures respectively. Similarly, we use  and  for Delhi.

The following table gives the conditional probabilities for Delhi’s temperature given Guwahati’s temperature.

Consider the first row in the table above. The first entry denotes that if Guwahati has high temperature  then the probability of Delhi also having a high temperature  is 0.40; i.e.,  Similarly, the next two entries are  and  Similarly for the other rows.

If it is known that  and  then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is _________.