Question

Use the this set of data and table to answer the following questions Grade Count A...

Use the this set of data and table to answer the following questions

Grade Count
A 10
B 2
C 1
D 0
F 2

What is the probability that a student received grades A AND B?

If a committee with 2 student members is to be formed, what is the probability of forming a committee with one A grade student and one F grade student?

If a committee with 3 student members is to be formed, what is the probability of forming a committee with two A grade students and one B grade student?

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Answer #1

total students = 10+2+1+0+2 = 15

a) probability that a student received grades A AND B =10/15*2/15=0.0889

b) the probability of forming a committee with one A grade student and one F grade student = 10C1*2C1/15C2 = 10*2/105=0.1905

c)  probability of forming a committee with two A grade students and one B grade student=10C2*2C1/15C3 = 0.19780

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