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Tema [17]
3 years ago
12

The first card selected from a standard 52-card deck was a king. It is

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Option B

The probability of getting a king card is 1/13 or 0.077, so option B is correct.

<u>Solution:</u>

Given that , The first card selected from a standard 52-card deck was a king.  

It is returned to the deck

We have to find what is the probability that a king will be drawn on the second selection?

Now, the first selected card is king and it is returned to the deck.

So it has no effect on the second selection card.

Then, we have to find probability to get a king  

\text { probability }=\frac{\text { favourable outcomes for a king }}{\text { total possible outcomes }}=\frac{4 \text { king cards }}{52 \text { cards in total }}=\frac{4}{52}=\frac{1}{13}

Hence, the probability of getting a king card is 1/13 or 0.077

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A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each
ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

<u><em>Step-by-step explanation:</em></u>

<u><em /></u>

Hello,

<u>Let's note</u>

a    the number of $10 bills

b    the number of $20 bills

The total value is $520 so we can write the first equation (1)

    \boxed{\sf 10a \ + \ 20b \ = \ 520 }

We know that there are 32 bills in total so we can write the second equation (2)

    \boxed{\sf a \ + \ b \ = \ 32 }

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago
How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
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Any kind of Triangle must have 180 degree of angle in total if it is not, then it is not a Triangle.

In short, Your Answer would be Zero

Hope this helps!
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