A box contains 15green and 10yellow balls. If 10balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is:
In a hostel 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read Hindi and English newspapers. A student is selected at random.
If he reads English newspaper, what is the probability that he reads Hindi newspaper ?
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let 53be the probability that he knows the answer and 52be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability 31, what is the probability that the student knows the answer given that he answered it correctly
A dice is thrown twice and the sum of the numbers appearing is observed to be 8. What is the conditional probability that the number 5 has appeared at least once ?
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest. Which of the above values you prefer
Let XandYbe two events that P(X)=31,P(X|Y)=21andP(Y|X)=52then:P(Y)=154 (b) P(X∪Y)=52P(Xprime|Y)=21 (d) P(X∩Y)=51
A black and a red dice are rolled.(a) Find the conditional probability of obtaining a sum greater than 9. Given that the black die resulted in a 5.(b) Find the conditional probability of obtaining the sum 8? given that the red die resulted in a number less than 4.
From the set of numbers 1 to 11 two number are taken such that their sum is eve, then the conditional probability that selected numbers are even is equal to (A) 73 (B) 53 (C) 75 (D) 52