# math

posted by .

Pick a Card.
Mike and dave play the following card game. Mike picks a card from the deck
If he selects a heart Dave gives him \$5, if not, he gives Dave \$2.

Determine Mikes's expectation.

Determine Daves' expectation

Can you help me with this? i have tried to do it and i came up with (Mike's = -\$1.58 and dave's = - \$4.79) but I don't think the game is "fair" so I don't think the expected value is 0. I am really confused!

• math -

Prob(heart) = 1/4
prob(not a heart) = 3/4

Mike's expectation:
he will receive \$5 if he picks a heart
expectation = 5(1/4) = \$1.25
Dave's expectation:
he will receive \$2 if Mike does not pick heart
expectation = \$2(3/4) = \$1.50

The game is clearly in Dave's favour.
If you wanted to know what Dave should receive to make it a "fair" game, let the amount Dave should receive be \$x
x(3/4) = 5(1/4)
x = \$1.67

(how ever did you get -\$1.58 and -\$4.79 ???????)

## Similar Questions

1. ### math

The unpaid balance of Dave's credit card is \$295, and the finance charge is 4%; what is the new balance of the credit card including Dave's additional purchase of \$75?
2. ### math

You and a friend each have a standard and well-shuffled 52-card deck of cards. You draw a card from your deck and your friend draws a card from her deck. Match the following results with their respective probabilities: Question 1 answers …
3. ### math

In a game of blackjack, each player is dealt two cards from a standard 52-card deck. If the first card is 10 of clubs, what is the probability that the second card is heart?
4. ### Math

One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card. hmmmmm....i don't play cards, i'm not even sure how many is in a deck...38?
5. ### Stats

Directions: Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a queen …
6. ### Stats

Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a queen and king) …
7. ### Math

Mike and Dave play a game in which each independently throws a dart at a target. Mike hits the target with probability 0.6, while Dave hits the target with probability 0.3. Mike wins the game if he hits the target and Dave misses. …
8. ### statistic research

ryan selects one card from a deck of 52 different card. the first card is not replaced before joe selects the second one. in how many different ways can they select the two card?
9. ### Statistics

Select three different five card combinations or five-card hands from your favorite card game that utilizes a standard 52-card deck containing four suits (clubs, hearts, diamonds, and spades), with each suit containing 13 cards with …
10. ### Statistics

Can someone please explain this to be, so that I can understand this problem?

More Similar Questions