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Yakvenalex [24]
3 years ago
13

A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the de

ck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

-$0.15

Step-by-step explanation:

We have been given win = $10, and loss = $-1

This deck of cards has 4 aces out of a total of 52 cards.

Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.

P(win) = number of favorable outcome/number of possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

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28.74% of 676.87 to 2 decimal places pls help
gregori [183]

Answer:

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8 0
3 years ago
What is the sum 2, 3, 4, and 5?
borishaifa [10]

Answer:

14

Step-by-step explanation:

We can find the sum of these numbers by adding them together.

The cumulative rule of addition lets us add numbers together in any order we want.

So, for 2 + 3 + 4 + 5 …

2 + 3 = 5

So now we have 5 + 4 + 5

5 + 4 = 9

Now we have 9 + 5

And 9 + 5 = 14

So, your answer is 14

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4 0
2 years ago
Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t
shtirl [24]

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


3 0
3 years ago
Determine if the two triangles are congruent. If they are, state how you know.
earnstyle [38]

Answer:

A. SAS

Step-by-step explanation:

Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).

7 0
2 years ago
Read 2 more answers
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