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 _____.

An unbiased normal coin is tossed n times. Let E_(1): event that both heads and tails are present in n tosses. E_(2): event that the coin shows up heads at most once. The value of n for which E_(1) and E_(2) are independent is ______.

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 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?

The number of values of k for which the lines (k+1)x+8y=4k a n dk x+(k+3)y=3k-1 are coincident is __________

A coin is tossed three times and all possible outcomes are assumed to be equally likely. E is the event: "exactly 2 heads or two tails have occurred" and F is the event: "at most one tail has occurred". Show that E and F are independent events.

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.

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are

A fair coin is tossed n times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of ndot