A man tosses a coin 10 times, scoring atleast k points. The value of k such that `P(K)gt(1)/(2)` is/are

A man tosses a coin 10 times, scoring 1 point for each head and 2 points for each tail. Let P(K) be the probability of scoring at least K points. The largest value of K such that P(K)gt1//2 is -

A coin is tossed 4 times . The probability of getting atleast one head is

A player tosses a coin and score one point for every head and two points for every tail that turns up. He plays on until his score reaches or passes n. P_(n) denotes the probability of getting a score of exactly n. The value of P_(n)+(1//2)P_(n-1) is equal to

Find the value off sum_(k=1)^10(2+3^k)

Let A and B be two fixed points and P , another point in the plane, moves in such a way that k_(1)PA+k_(2)PB=k_(3) , where k_(1) , k_(2) and k_(3) are real constants. The locus of P is Which one of the above is not true ?

If k, k + 1 and k + 3 are in G.P. then find the value of k.

If k ,\ 2k-1 and 2k+1 are three consecutive terms of an A.P., the value of k is

If 10^(k)=64 , what is the value of 10^((k)/(2)+1) ?

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 _____.

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 _____.