Question

You have two decks of cards and draw a card from each at random. What is the probability of drawing a number smaller than 5 from the first deck and a jack from the second one?

Answer 1

Ans. Since both drawing of card from each deck of cards are independent,

Let A be the event that a drawing card from first deck of cards a number less than 5, so that

n(A) = 3*4 ( three cards 2, 3, 4 from each of these 4 suits diamonds, hearts, clubs, and spades).

n(A) = 12,

and B be the event that a drawing card from the second deck of cards is Jack , so that

n(B) = 4

Thus the required probability is

P(A)*P(B) = [12/52]×[4/52]

= 0.01775

Since each deck of cards has 52 cards.