A man takes a step forward with probability `0.4` and backward with probability `0.6`. The probability that at the end of eleven steps he is just one step away from the starting point, is

A man takes a step forward with probability 0.4 and backwards with probability 0.6 find the probability that at the end of eleven steps he is one step away from the starting point.

A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. find the chance that B is selected if the admission of one candidate is independent of the other.

In an entrance test that is graded on the basis oftwo examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What isthe probability of passing both?

A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. Find the probability that B is selected.

The probability that a student entering the university will graduate is 0.4. Find the probability that out of 3 students of the University: none will graduate.

Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that : at least one of them will not qualify the examination.

Bag A contains 6 red and 4 black balls . One ball is drawn at random from the bag. Find the probability that it was a red ball.

20 cards are numbered from 1 to 20. One card is then drawn at random. What is the probability that the number on the card will be : a multiple of 4 ?