One card is drawn from a pack of 52 cards so that each card is equally likely to be selected. Prove that the following cases are independent :
(a) A : "The card drawn is a spade"
B : "The card drawn is an ace."
(b) A : "The card drawn is black"
B : "The card drawn is a king."

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.

A card is drawn from a pack of 52 cards. What is the probability that it is an ace ?

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is black .

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is a queen .

A card is drawn from a pack of 52 cards. What is the probability that it is a black card ?

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is black and a queen .

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probabiltiy if: (i) the card drawn is red (ii)the card drawn is a king (iii) the card drawn is red and a king (iv) the card drawn is either red or king.