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 ______.

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 ______.

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_1a n dE_2 are independent is _________.

An unbiased normal coin is tossed n times. Let E_1: event that both heads and tails are present n tosses. E_2: event that the coin shows up heads at most once. The value of n for which E_1a n dE_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 fair coin is tossed 2n times, The probability of getting as many heads in the first n tosses as in the last n is

A coin is tossed three times. Let the events A ,B and C be defined as follows: A= first toss is head, B= second toss is head, and C= exactly two heads are tossed in a row. Check the independence of A&B B&C C&A

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 the events E and F are independent.

A coin is tossed three times. Let the events A B, and C be defined as follows; A= first toss is head, B= second toss is head, and C= exactly two heads are tossed in a row. Check the independence of i. A and B ii. B and C and iii. C and A

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.