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love history [14]
2 years ago
10

A classroom has ten students. Three students are freshman, two are sophomores, and five are juniors. Three students are randomly

selected (without replacement) to participate in a survey. Consider the following events: A = Exactly 1 of the three selected is a freshman B = Exactly 2 of the three selected are juniors Find the following probability. If needed, round to FOUR decimal places. Pr(A∩B) = ___________
Mathematics
1 answer:
ycow [4]2 years ago
3 0

Answer:

0.25

Step-by-step explanation:

We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

(3C1)(5C2)=(3)(10)=30 and

Pr(A∩B)=30/120=0.25

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Answer:

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Step-by-step explanation:

The given function is y=2x^2-4.


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I have a past due balance of 87.50 and my new charges are $75 I was also charged a late fee of 15% of my past due balance what i
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Hopefully this right, if it is not i am so very sorry, Have a Good Evening:) ~Nana~!
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Hello :
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