S-MD.B.5.b
Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.
Example Problems
Keisha rolls a fair six-sided die three times. She earns points based on how many sixes she rolls according to the table below.
What is the expected number of points Keisha will score?
Round your answer to the nearest hundredth.
| Number of sixes | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Points | 0 | 4 | 9 | 16 |
What is the expected number of points Keisha will score?
Round your answer to the nearest hundredth.
Sam draws one card at random from a standard 52-card deck.
If the card is a heart, he wins . If the card is not a heart but is a face card (J, Q, or K), he wins . Under any other outcome, he wins .
What is the expected value of Sam's winnings?
Round your answer to the nearest cent.
If the card is a heart, he wins . If the card is not a heart but is a face card (J, Q, or K), he wins . Under any other outcome, he wins .
What is the expected value of Sam's winnings?
Round your answer to the nearest cent.
Talia flips a fair coin 4 times in a game.
If she gets exactly 3 heads, she will win . If she gets exactly 2 heads, she will win . Under any other outcome, she will win . The game costs her to play.
What is the expected profit for Talia when she plays this game?
Round your answer to the nearest cent.
If she gets exactly 3 heads, she will win . If she gets exactly 2 heads, she will win . Under any other outcome, she will win . The game costs her to play.
What is the expected profit for Talia when she plays this game?
Round your answer to the nearest cent.
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