A company has estimated that the probabilities of success fro there products introduced in the market are `1/3,2/5a n d2/3` respectively. Assuming independence, find the probability that the three products are successful. none of the products is successful,

The probability of solving a specific problem independently by A and B are (1)/(3) and (1)/(5) respectively. If both try to solve the problem independently, find the probability that the problem is solved.

The chance of success of an event is 3/4, find the probability that in six trials there will be four or more successes.

The faces of a die bear number 0,1,2,3,4,5. If the die is rolled twice, then find the probability that the product of the digits on the upper face is zero.

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or I, III or all the three. The probabilities of the Student passing in tests II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2, then which one of the following is correct? (a) m (1+n)=1 (B) n (1+m) =1 (C) m=1 (D) mn=1

Anil's company estimates the net profit on a new products, it is launching to र 3,000,000 during the first year if it successful र 1,000,000 if it is unsuccessful The company assigns the following probabillities to first yesar prospects for the product successful: 0.15 moderately successful 0.25 and unseccessful 0.60 . Then the standard deviation of first year net profit fot the product (in million) is

If there are n independent trials, p and q are the probability of success and failure respectively, then probability of exactly r success