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3 years ago

How is 9/12 equivalent to 4/6

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

it's not

Step-by-step explanation:

if you simplify by making the denominators the same (multiplying 9/12 by 6/6 and 4/6 by 12/12), you'll arrive at 54/72 and 48/78. 54 isn't equal to 48

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1/8 and 7/8

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3 years ago

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3 years ago

If you draw a card with a value of four or less from a standard deck of cards I will pay you $43 if not you pay me $10. Step 1.

Vera_Pavlovna [14]

The expected value of the game is its average earnings

The expected value of a round is $2.23
The expected value when the game is played 755 times is $1683.65

<h3>How to determine the expected value of a round</h3>

There are 12 cards with a value of 4 or less.

So, the probability of selecting a card with a value of 4 or less is:

$P(x \le 4) = \frac{12}{52}$

The probability of selecting a card with a value more than 4 is the complement of the above probability.

So, we have:

$P(x > 4) = 1 - \frac{12}{52}$

$P(x > 4) = \frac{40}{52}$

The expected value is then calculated as:

$E(x) = \frac{12}{52} * 43 - \frac{40}{52} * 10$

Evaluate

$E(x) = \frac{12* 43 - 40 * 10}{52}$

$E(x) = \frac{116}{52}$

Simplify

$E(x) = 2.23$

Hence, the expected value of a round is $2.23

<h3>The expected value when the game is played 755 times</h3>

In (a), we have:

$E(x) = 2.23$

In probability, we have:

$E(nx) = n * E(x)$

So, we have:

$E(755x) = 755 * 2.23$

$E(755x) = 1683.65$

Hence, the expected value when the game is played 755 times is $1683.65