Expected Value (Leaving Cert Mathematics): Quizzes

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Expected Value
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What does expected value represent in probability?

Long-run average of all outcomes

In the formula E(x)=∑x⋅P(x)E(x) = \sum x \cdot P(x), what does P(x)P(x) represent?

Probability of each outcome

What is the first step in calculating expected value?

List all outcomes and probabilities

A game is 'fair' when its expected value equals what?

0 (break even)

If a game has an expected value less than 0, what type of game is it?

Unfavourable

A spinner has values 10, 6, 4 with probabilities 12\frac{1}{2}, 14\frac{1}{4}, 14\frac{1}{4}. What is E(x)E(x)?

7.5

A game costs €8 with expected payout €7.25. What is the expected profit?

-€0.75

What does the law of large numbers state?

Actual average approaches expected value

For a fair six-sided dice, the expected value is 3.5. Is this a problem?

No, EV doesn't need to be possible

Which industry uses expected value to calculate premiums and payouts?

Insurance

How are most casino games designed regarding expected value?

Unfavourable to players

A probability table for expected value should have how many columns?

3 columns

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