Question

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $256$⁢256. Otherwise, you have to pay your friend $14$⁢14. Step 2 of 2 : If this same bet is made 759759 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Name: suppose that you and a friend are playing cards and you decide to make a friendly wager the bet is that you will draw two cards without replacement from a standard deck if both cards are dia 00197
Uploaded: 2023-07-13T20:09:04-08:00
Duration: 2 min 8 s
Channel: Manisha Sarker
Description: suppose that you and a friend are playing cards and you decide to make a friendly wager the bet is that you will draw two cards without replacement from a standard deck if both cards are dia 00197

          Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $256$⁢256. Otherwise, you have to pay your friend $14$⁢14.
Step 2 of 2 : 
If this same bet is made 759759 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Added by Vicenta M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Manisha Sarker

07/13/2023

Step 1

A standard deck has 52 cards, of which 13 are diamonds. The probability of drawing the first diamond is: \[ P(\text{1st diamond}) = \frac{13}{52} = \frac{1}{4} \] After drawing the first diamond, there are now 51 cards left in the deck, with 12 of them being Show more…

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Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $256$⁢256. Otherwise, you have to pay your friend $14$⁢14. Step 2 of 2 : If this same bet is made 759759 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.