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 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 certain team wins with probability 0.7, loses with probability 0.2 and ties with probability 0.1. The team plays three games. Find the probability that the team wins at least two of the games, but not lose.

A and B appeared for an interview. The probability of their selection is 1/4 and 1/5 respectively. Find the probability that at least one of them selected

A and B appeared for an interview. The probability of their selection is 1/2 and 1/4 respectively. Find the probability that at least one of them selected

A and B appeared for interview. The probability of their selection is : 1/3 and 1/4 respectively. Find the probability that : at least one of them selected.

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.

In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct given that he copied it is 1/8. Find the probability that he knew the answer to the question, given that he correctly answered it.

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.

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.