Suppose that you and a friend are playing cards and decide to make a bet. If you draw two red cards in succession from a standard deck of 52 cards without replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

Thus the probability for all the three cards are face card

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

E=$19.307

Therefore the answer will be $19.307.

step-by-step explanation:

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