An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be atleast 4 successes.

An experiment succeeds twice as often as it fails. Find the probability that in the next five trials, there will be atleast 3 successes.

An unbiased die thrown twice find the probability distribution of the number of sixes

For a student to qualify, he must pass at least two out of three exams. The probability that he will pass the 1st exam is p. If he fails in one of the exams, then the probability of his passing in the next exam, is p/2 otherwise it remains the same.Find the probability that he will qualify.

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

The probability of success in a single trial of a random experiment is constant and the trial is repeated inependently seven timed, if the probability of 4 successes is equal to 3 successes, find the probability of 3 successes in 5 independent trials of the experiment.

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.

In 10 independent throws of a defective die, the probability that an even number will appear 5 times is twice the probability that an even number will appear 4 times. Find the probability that an even number will not apper at all in 10 independent throws of the die.

A box contains 12 red and 6 white balls. Balls are drawn from the bag one at a time without replacement. If in 6 draws, there are at least 4 white balls, find the probability the exactly one white ball is drawn in the next two draws. (Binomial coefficients can be left as such.)

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

A man is known to speak the truth 3 out of 4 times. He throws an unbaised die and reports that it is a six. Find the probability that it is a actually six.