I have 4 umbrellas, some at home, some in the office. I keep moving between home and office.I take an umbrella with me only if it rains. If it does not rain I leave the umbrella behind (athome or in the office). It may happen that all umbrellas are in one place, I am at the other, itstarts raining and I must leave, so I get wet.(a) If the probability of rain is p, what is the probability that I get wet? [Ans pq/q 4 where q = 1-p](b) Current estimates show that p = 0.6 in Guwahati. How many umbrellas should I have sothat, if I follow the strategy above, the probability I get wet is less than 0.01?