An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not.

A coin is tossed thrice. Let the event E be "the first throw results in a head" and the event F be "the last throw results in a tail." Find whether events E and F are independent.

A balanced coin is tossed three times in succession. Let A denote the event of getting 'head' in the first toss and B the event of getting 'tail' in the second toss. Prove that the events A and B are independent.

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

A die thrown twice. If A is the event of getting a multiple of three in first through and B is the event of getting a sum less than 8 in two throws, then P(A//B) =

Total number of condition for independence of 3 events is_________

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event 'the number appearing is even' then find whether E and F are independent ?

A die is thrown three times. Events A and B are defined as below: A : 4 on the third throw B : 6 on the first and 5 on the second throw Find the probability of A given that B has already occurred.

An unbiased die thrown two independent times Given that the first throw resulted in an even number, the probability that the sum obtained is 8 is :

Two unbiased dice are thrown .Let A be the event that the sum of the digits shown on the two dice is 5 and B be the event that at least one of the dice shows up a 5. Are the two events i. mutually exclusice? (ii) exhaustive? Give arguments in support of your answer.