Probability

Fill in the blanks: (i) Probability of a sure event is .......... (ii) Probability of an impossible event is ........... (iii) The probability of an event (other than sure and impossible event) lies between ........ (iv) Every elementary event associated to a random experiment has ....... probability. (v) Probability of an event A+ Probability of event ' not\ A ' =......... (vi) Sum of the probabilities of each outcome in an experiment is ........

A certain team wins with probability 0.7, loses with probability 0.2and ties with probability .1 the team plays three games. Find the probability that the team wins at least two of the games, but not lose.

The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75. What is the probability of passing the Hindi examination?

Given two independent events, if the probability that both the events occur is (8)/(49) , the probability that exactly one of them occurs is (26)/(49) and the probability of more probable of the two events is lambda , then 14 lambda is equal to

The probability that a person will get an electric contract is 2/5 and the probability that they will not get plumbing contracts 4/7dot if the probability of getting at least one contract is 2/3 , what is the probability that he will get both?

The probability of an event A is (4)/(5) . The probability of an event B, given that the event A occurs is (1)/(5) . The probability of event A, given that the event B occurs is (2)/(3) . The probability that neigher of the events occurs is

The probability that a person will get an electric contact is 2/5 and the probability that he will not get plumbing contract is 4/7 . If the probability of getting at least one contract is 2/3 , what is the probability that he will get both.

The probability that a person will win a game is (2)/(3) and the probability that he will not win a horse race is (5)/(9) . If the probability of getting in at least one of the events is (4)/(5) ,what is the probability that he will be successful in both the events ?

A random variable X follows binomial probability distribution with probability P(X), with mean as 2, probability of success as p and probability of failure as q such that p+q=1. If SigmaX^(2)P(X)=(28)/(5) , then the probability of exactly 2 success is

The probability that a certain person will buy a shirt is 0.2, the probability that he will buy a trouser is 0.3, and the probability that he will buy a shirt given that he buys a trouser is 0.4. Find the probability that he will buy both a shirt and a trouser. Find also the probability that he will but a trouser given that he buys a shirt.