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ra1l [238]
3 years ago
13

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

0.038 0.200 0.315 0.465 0.747
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Last one..................................................................................................................................................

inysia [295]3 years ago
3 0

Answer:

The probability that exactly 2 of the cards are spades is 0.315  

Step-by-step explanation:

Given that 6 cards are drawn at random from a standard deck of 52 cards,

we have to find the probability that exactly 2 of the cards are spades.

Total cards=52

Number of cards which are spades=13

Remaining cards=52-13=39

Probability=\frac{\text{favourable outcomes}}{\text{Total number of outcomes}}

Probability=\frac{_2^{13}\txterm{C}\times _4^{39}\txterm{C}}{_6^{52}\txterm{C}}

Probability=\frac{\frac{13!}{2!11!}\times \frac{39!}{35!4!}}{\frac{52!}{6!46!}}=0.31512988174\sim 0.315

Option 3 is correct.

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Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for
Natalka [10]

In cases like these, you simply have to multiply the choices you have for each step.

In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are 4\cdot 4 = 16 choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are

1A,\ 1B,\ 1C,\ 1D,\ 2A,\ 2B,\ 2C,\ 2D,\ 3A,\ 3B,\ 3C,\ 3D,\ 4A,\ 4B,\ 4C,\ 4D

From here, you keep going multiplying the number of options for each step, for a total of

4\cdot 4 \cdot 3 \cdot 4 = 192

4 0
3 years ago
Read 2 more answers
What is -3x-5 = 16<br> I'm stuck on a simple problem
mariarad [96]

Answer:

-7

Step-by-step explanation:

-3x-5=16

-3x-5+5=16+5

-3x=21

-3x/-3=21/-3

x=-7

4 0
2 years ago
Read 2 more answers
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1
Leona [35]

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

Find out more information about equation here:

brainly.com/question/14686792

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5 0
2 years ago
Simplify 4 + (-3) - 2 x (-6 )
sukhopar [10]
If you would like to simplify <span>4 + (-3) - 2 * (-6), you can do this using the following steps:

</span><span>4 + (-3) - 2 * (-6) = 4 - 3 + 2 * 6 = 1 + 12 = 13
</span>
The correct result would be 13.
7 0
3 years ago
Which method can you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at(0,0) and (0,
ahrayia [7]

Answer:

(0, - 6)

Step-by-step explanation:

Since this is a vertical line then the midpoint of the y- coordinates is

\frac{1}{2}(0 - 12) = - 6

⇒ midpoint = (0, - 6 )


7 0
3 years ago
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