The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.

There are 52 cards in a deck.

There are 12 face cards in a deck. (gain 10)

There are 4 ace in a deck. (gain 20)

Any other card is 36 of them. (lose 5)

The probability of face card is 12/52

The probability of ace is 4/52

The probability of any other card is 36/52

Thus the expected values is:

(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38

3 0

3 years ago

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From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10

Leto [7]

Answer:

$10x^2 + 7x - 1$

Step-by-step explanation:

Step 1: Build the expression in numerical form.

$(8x^2 +10x - 10) - (-2x^2 + 3x - 9)$

Step 2: Distribute the negative sign.

$8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)$
$8x^2 + 10x - 10 + 2x^2 + (-3x) + 9$

Step 3: Combine like terms.

$(8x^2 +2x^2) + (10x -3x) + (-10+9)$
$10x^2 +7x -1$

Therefore, the answer is $10x^2 + 7x -1$ .

4 0

3 years ago