A draws a card from a pack of `n` cards marked `1,2,ddot,ndot` The card is replaced in the pack and `B` draws a card. Then the probability that `A` draws a higher card than `B` is a. `(n+1)2n` b. `1//2` c. `(n-1)2n` d. none of these

Cards are drawn one by one without replacement from a pack of 52 cards. The probability that 10 cards will precede the first ace is a. 241/1456 b. 18/625 c. 451/884 d. none of these

Cards are drawn one-by-one at random from a well-shuffled pack of 52 playing cards until 2 aces are obtained from the first time. The probability that 18 draws are obtained for this is a. 3//34 b. 17//455 c. 561//15925 d. none of these

A, B, C in order draws a card from a pack of cards, replacing them after each draw, on condition that the first who draws a spade shall win a prize : find their respective chances.

2n boys are randomly divided into two subgroups containint n boys each. The probability that eh two tallest boys are in different groups is n//(2n-1) b. (n-1)//(2n-1) c. (n-1)//4n^2 d. none of these

If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. I-(2^n-1)Z d. none of these

A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of drawing. (a)a king or a spade,(b)a king or a queen.

2 cards are drawn from a well shuffled of 52 cards the probability that they of the same colour is