Math  /  Data & Statistics

QuestionSuppose 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 clubs, your friend will pay you $659\$ 659. Otherwise, you have to pay your friend $40\$ 40.
Step 1 of 2 : What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
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Studdy Solution
Calculate the expected value step-by-step:
E=117×659+1617×(40)=65917+16×(40)17=38.7637.65=1.12 E = \frac{1}{17} \times 659 + \frac{16}{17} \times (-40) = \frac{659}{17} + \frac{16 \times (-40)}{17} = 38.76 - 37.65 = 1.12
Solution: The expected value of your bet is approximately $1.12\$1.12.

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