Probability and Expected Value Concepts

The video tutorial explains how to calculate the expected value in different scenarios. It begins with a game example where a player can win or lose money, detailing the calculation of expected value based on probabilities and outcomes. The tutorial then applies the same concept to a business scenario, calculating the expected profit per laptop for a company considering defective products. The video emphasizes understanding probabilities and outcomes to determine expected values in various contexts.

What are the two possible outcomes in the game scenario discussed?

• She wins or forfeits the game

• She wins or draws the game

• She loses or draws the game

• She wins or loses the game

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CCSS.7.SP.C.5

If the probability of winning is 20%, what is the probability of losing?

• 50%

• 70%

• 80%

• 90%

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CCSS.HSS.MD.A.2

What is the expected value of winning a single game?

• $10

• $20

• $30

• $40

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CCSS.HSS.MD.A.2

How much would she expect to win if she played 10 games?

• $250

• $100

• $200

• $150

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CCSS.7.EE.B.4A

What is the profit for each working laptop sold by company XYZ?

• $60

• $50

• $40

• $30

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CCSS.8.EE.C.7B

What is the loss for each defective laptop returned?

• $550

• $400

• $500

• $450

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CCSS.7.SP.C.6

What is the probability of producing a defective laptop?

• 3%

• 2%

• 5%

• 4%

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CCSS.HSS.MD.A.2

What is the expected value of profit per laptop?

• $22.80

• $20.80

• $23.80

• $21.80

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CCSS.HSF.BF.A.2

If the company sells 100 laptops, what is the expected total profit?

• $2,480

• $2,380

• $2,280

• $2,180

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CCSS.HSS.MD.A.2

What formula is used to calculate the expected value?

• x1 * p1 + x2 * p2

• x1 + p1 + x2 + p2

• x1 - p1 + x2 - p2

• x1 / p1 + x2 / p2

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CCSS.HSS.MD.A.2