A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of 11 steps, he is one step away from the starting point.

The probability of happening an event A in one trial is 0.4. Find the probability that the event A happens at least one in three independent trials.

A die is thrown 4 times. Find the probability of getting at most two 6.

If the probability of success of an experiment is 0.4 . What is the probability of failure ?

Find the probability of getting at least one tail in 4 tosses of a coin.

The probability that student will get an reward for sports is 0.38 and another award for studies is 0.42 and the probability of getting both award is 0.2. Find the probability that (i)he will get atleast one award,(ii)he will get only one of the reward.

The probability that a preparation for competitive examination will get a State Government service is 0.12. the probability that she will get Central Government job is 0.25, and the probability that she will get both is 007 Find the probability that she will get atleast one of the two jobs (1) she will get only one of the two jobs.

Two coins are to be flipped. The first coin will land on heads with probability 0.6, the second with probability 0.5. Assume that the results of the flips are independent, and let X equal the total number of heads that result. The value of E[X] is

In a competitive examination, an examinee either guesses or copies or knows the answer to amultiple 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 the answer is correct, given that he copiedit, is 1/8 . Find the probability that he knows the answer to the question, given that he correctly answered

In a competitive examination, an examinee either guesses or copies or knows the answer to amultiple 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 the answer is correct, given that he copiedit, is 1/8 . Find the probability that he knows the answer to the question, given that he correctly answered