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
1 answer:
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:
.
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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