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.

A bag contains a white and b black balls. Two players, Aa n dB alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. A begins the game. If the probability of A winning the game is three times that of B , then find the ratio a : b

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.

Two cards are drawn from a pack of 52 cards in succession. Find the probability that both are Jack when the first drawn card is (i) replaced (i) not replaced.

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

From a pack of 52 cards, two are drawn one by one without replacement. Find the probability that both of them are kings.

Find the probability of drawing either an ace or a king from a pack of card in a single draw.

Two cards are drawn from a pack of 52 cards is succession. Find the probability that both the cards are queens,when the first drawn card is not replaced.

A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades. (c ) Calculate the probability that the card is (i) an ace (ii) black card.