Two cards are drawn successively and without replacement from an ordinary deck of

Chapter 1, Problem 1.3-4

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Two cards are drawn successively and without replacement from an ordinary deck of playing cards. Compute the probability of drawing (a) Two hearts. (b) A heart on the first draw and a club on the second draw. (c) A heart on the first draw and an ace on the second draw. Hint: In part (c), note that a heart can be drawn by getting the ace of hearts or one of the other 12 hearts.

Questions & Answers

QUESTION:

Two cards are drawn successively and without replacement from an ordinary deck of playing cards. Compute the probability of drawing (a) Two hearts. (b) A heart on the first draw and a club on the second draw. (c) A heart on the first draw and an ace on the second draw. Hint: In part (c), note that a heart can be drawn by getting the ace of hearts or one of the other 12 hearts.

ANSWER:

Step 1 of 4

A standard deck of cards contains 52 cards, of which 26 are red and 26 are black, 13 are of each suit (hearts, diamonds, spades, clubs) and of which 4 are of each denomination (A, 2 to 10, J, Q, K). The face cards are the jacks J, queens  and kings .

General multiplication rule:

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back