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.

Three unbaised coins are tossed simultaneously. Describe three events A, B and C which are mutually exclusive and exhaustive,

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that it is neither a king nor a heart.

In the random rxperiment of rolling an unbiased die, let A be the event of getting a digit less than 4 and B be then event of getting a digit greater than 3 , show that the events A and B are mutually exclusive and exhaustive.

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.

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.

Describe the following events A,B, and C in the random experiment of tossing three unbiased coins : A: event of getting two heads, B: event of getting three heads. C: event of getting atmost one head. Show that (i) B is a simple event while A and C are compound events, (ii) events A,B,C are mutually exclusive and exhaustive.

One cord is drawn at random a pack of 52 c’ards..Find the probability the card will be either a king or a Hearts or red?

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

Let E denote the random experimnet of rolling two unbiased dice and A and B are two events connected with E. The event A occur if the sum of the digits shown on the two dice is 7 while the event B occurs if at least one of the dice shows up a 4. show that the events A and B neither mutually exclusive nor exhaustive.