1.There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the peobability that only two tests are needed is

2.India plays two matches each with West Indies and Australia. In any match the probabilies of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the out comes are independent, the probability of India getting at least 7 point , is

3.A fair coin is tossed. If the result is a head, a pair of fair dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of 11 cards numbered 2, 3, 4, ..., 12 is picked up and the noted number is 7 or 8, is

4.A purse contains 4 copper coins, 3 silver coins and another purse contains 6 copper coins and 2 silver coins. One coin is taken from one purse, the probability that it is a copper coin, is

5.A and B are two independent events. The probability that bothe A and B occur, is 1/6 and the probability that none of them occurs, is 1/3. The minimum value of probability of occurrence of A, is