An unbiased dice is thrown four times. Let events E and F be defined as
E: the number 2 occurs exactly one time or exactly 4 times
F:Atleast one prime number occurs, then, `P(E/F) =`

A die is thrown 7 times. What is the chance that an odd number turns up (i) exactly 4 times (ii) at least 4 times

Two dice is rolled four xx.Find the probability that the number 6is obtained exactly three xx

Two dice are thrown simultaneously and three events A, B and C are defined as A : The sum of the numbers is 10 B : The sum of the numbers is 9 C : The sum of the numbers is 8 If P(E) is the probability of event E, then which of the followings is true ?

A pair of fair dice is thrown together. If event E is defined as the maximum of the two numbers are greater than 4, then odds in favor of E are

A coin is tossed three xx.E: atmost two tails and F: atleast one tail.then P((E)/(F))=

A die is rolled.Let E be the event die shows 4 and F be the event die shows even number. Are E and F mutually exclusive?

For the three events A, B and C, P(exactly one of the events A or B occurs) = P(exactly one of the events B or C occurs) =P(exactly one of the events C or A occurs)= p and P(all the three events occur simultaneously) = p^2, where 0ltplt1/2. Then, find the probability of occurrence of at least one of the events A, B and C.

Let n be the number of trials that an event E occurred and m be the total number of trials, then find the probability of the event E.