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 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.

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 coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then find P(E//F)dot

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 coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events Aa n dB are independent or dependent.

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 :

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let F_(k) be the event "exactly k heads are obtained". Then the value of n/k for which E and F_(k) are independent is _____.

Three coins are tossed once. Let A denote the event 'three heads show", B denote the event "two heads and one tail show", C denote the event" three tails show and D denote the event 'a head shows on the first coin". Which events are (i) mutually exclusive? (ii) simple (iii) Compound?

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.