Question

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two non-face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacing the first card, you win $10. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Name: suppose that you and a friend are playing cards and decide to make a bet if you draw two non face cards where a face card is a jack a queen or a king in succession from a standard deck of 52 27674
Uploaded: 2023-08-16T21:03:44-08:00
Duration: 2 min 19 s
Channel: Prabhakar Kumar
Description: suppose that you and a friend are playing cards and decide to make a bet if you draw two non face cards where a face card is a jack a queen or a king in succession from a standard deck of 52 27674

          Suppose that you and a friend are playing cards and decide to make a bet. If you draw two non-face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacing the first card, you win $10. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Added by Erica P.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Prabhakar Kumar

08/16/2023

Step 1

There are 9 face cards in a deck (3 face cards in each of the 4 suits), so there are 52 - 9 = 43 non-face cards. The probability of drawing a non-face card on the first draw is 43/52. Since we're not replacing the first card, there are now 42 non-face cards left Show more…

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Suppose that you and a friend are playing cards and decide to make a bet. If you draw two non-face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacing the first card, you win $10. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.