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.

From a pack of 52 cards , 1 card is drawn at random. Find the chance of drawing a spade and also of not drawing a spade.

Find the probability of drawing 4 cards from a pack of 52 cards such that at least two cardswill be aces.

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

In the random experiment of drawing a card from a well shuffed pack of 52 cards, let A,B,C and D be the events that the drawn card is a club, a diamond , a heart and a spade respectively. Examine whether the events A,B,C and D are mutually exclusive and exhaustive.

The probability of drawing any one spade card from a pack of card is

A, B and C in order toss an unbiased coin. The first who throws 'head' wins. Find the respective probabilities of winning.

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 (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.

A card is drawn from an ordinary pack of 52 cards and a gambler bets that either a spade or an ace is going to appear. Then the odds against his winning the prize are -

Two cards are drawn at random from a well-shuffled pack of 52 cards and thrown away. Find the probability of drawing an ace from the remaining 50 cards.