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SSSSS [86.1K]
2 years ago
15

A group of seven kids line up in a random order. Each ordering of the kids is equally likely. There are three girls and four boy

s in the group. What is the probability that all the girls are ahead of all the boys
Mathematics
1 answer:
jeka57 [31]2 years ago
6 0

Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is the factorial of n, that is:

A_n = n!.

The total number of outcomes is the arrangement of 7 elements, hence:

T = 7! = 5040.

The desired number of outcomes is all girls(3!), then all boys(4!), hence:

D = 3! x 4! = 6 x 24 = 144.

Hence, the probability is:

p = D/T = 144/5040 = 0.0286.

There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

More can be learned about the arrangements formula at brainly.com/question/24648661

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Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long
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3 years ago
Merle has an offer from a credit card issuer for a 0% APR for the first 60 days and a 23.19% APR afterwards, compounded daily. W
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8 0
3 years ago
Read 2 more answers
Anyone! Please help me! I don't understand at all what to do! Help would be really appreciated :)
Rom4ik [11]

Answer: They are parallel

Step-by-step explanation:

If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.

To check this , we must calculate the slope of the two lines given.

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

from the first point

y_{1} = 2

y_{2} = 1

x_{1} = 5

x_{2} = -1

substituting the values

slope 1 = 1 - 2 / -3 - 5

slope1 = -1 / -8

slope 1 = 1/8

Using the same format to calculate the slope of the second line

y_{1} = -2

y_{2} = 0

x_{1} = -1

x_{2} = 15

slope 2 = 0 - (-2) / 15 - (-1)

slope 2 = 2/16

slope 2 = 1/8

Since slope 1 = slope 2 , this implies that the lines are parallel

6 0
3 years ago
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