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Setler79 [48]
3 years ago
6

A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of car

ds.
If they draw a face card, they win $10.00 (i.e. they get their $5.00 back and get an extra $5.00).

If they draw an ace, they win $20.00 (i.e. they get their $5.00 back and get an extra $15.00).

With any other draw they lose their money.

What is the expected money value playing this game?


-$5.00

-$1.15

$1.31

$0.38

Mathematics
2 answers:
bekas [8.4K]3 years ago
4 0

Answer:

-$1.15

Step-by-step explanation:

probability to draw a face card: 12/52

probability to draw an ace: 4/52

probability to lose: (52 - 16)/52 = 36/52

The expected money value is the sum of all possible outcomes, each multiplied by the probability of its occurrence.

$5.00*12/52 + $15.00*4/52 - $5*36/52 = -$1.15

valkas [14]3 years ago
3 0

Answer:

Step-by-step explanation:

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

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==========================================================

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2.66 ft

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Answer:

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
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Answer:

C. B(x,y) = \left(3,-\frac{16}{3} \right)

Step-by-step explanation:

Let A(x,y) = (6,-7), B(x,y) = (x,y) and C(x,y) = (-3,-2). From statement we know that AB = \frac{1}{2}\cdot BC, which is equivalent to the following linear algebraic formula:

B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)] (1)

B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)

\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)

B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y) (2)

Then, the coordinates of point B on AC are:

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B(x,y) = \left(3,-\frac{16}{3} \right)

Which means that correct answer is C.

5 0
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