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Solnce55 [7]
3 years ago
8

2 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is an a

ce? Express your answer as a fraction or a decimal number rounded to four decimal places.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

Two cards can be drawn from the 52 cards in ^{52}C_2 = \frac{52!}{50!\times2!} = 51\times26 ways.

There are (52 - 4) = 48 cards rather than the aces.

From these 48 cards 2 cards can be drawn in ^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24 ways.

The probability of choosing 2 cards without aces is \frac{47\times24}{51\times26} = \frac{188}{221}.

The probability of getting at least one of the cards will be an ace is 1 - \frac{188}{221} = \frac{33}{221} = 0.1493.

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Novay_Z [31]

Answer:

none

Step-by-step explanation:

to solve this equation we would say that

let

x + y = 5 .............................. equation 1

x + y = 6 .................................... equation 2

from equation 2

x + y = 6 .................................... equation 2

x = 6 -y...................................... equation 3

substitute for x into equation 1

x + y = 5 .............................. equation 1

6 - y + y = 5

from here this equation cannot be solved further therefore it has no solution.

6 0
3 years ago
A carpenter has a board 400 inches long and 10 inches wide. He makes 5 identical shelves with the board and still has a piece of
Sedaia [141]
THE 5 IDENTICAL SHELVES WOULD  have to be 76 because if you take 400 - 20 (because that left over) you get 380/5 you get 76 and to check your work you do 5x76=380+20 you get 400 so 76 is you answer
3 0
2 years ago
Read 2 more answers
-9 more than a number results in -20
damaskus [11]

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

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If you are doing inequalities, then your answer should be this:

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I hope this helps!

-No one

4 0
2 years ago
Given m||n, find the value of x.<br> t<br> (x-3)<br> m<br> (8x+3)
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Answer:

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3 0
3 years ago
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Kruka [31]

From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

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\begin{gathered} \frac{4}{2}x=180 \\ 2x=180 \end{gathered}

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4 0
1 year ago
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