Question 420541: 1. In a certain large college course, past records show that grades A,B,C,D, and F are equally likely. If 1 student is chosen at random, find the following probabilities:
a. P(C)
b. P(A or B)
c. P(a grade higher than D)
d. P(A,B,C,D,or F)
e. P(B and D)
f. P(E)
g. P(not-A)
h. P(not-A and not-F)
2. A pharmacist has filled a box with six different kinds of antibiotic capsules. There are a total of 300 capsules, which are distributed as follows: tetracycline(15), penicillin(30), minocycline(45), Bactrim(60), streptomycin(70), and Zithromax(80). She asks her assistant to mix the pills thoroughly and to withdra a single capsule from the box. What is the probability that the capsule selected is:
a. either penicillin or streptomycin
b. neither Zithromax nor tetracycline
c. Bactrim
d. not penicillin
e. either minocycline, Batrim, or tetracycline?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a certain large college course, past records show that grades A,B,C,D, and F are equally likely. If 1 student is chosen at random, find the following probabilities:
a. P(C) = 1/5
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b. P(A or B) = 2/5
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c. P(a grade higher than D) = 3/5
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d. P(A,B,C,D,or F) = 1
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e. P(B and D) = 0
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f. P(E) = 0
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g. P(not-A) = 4/5
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h. P(not-A and not-F) = P(B,C,D,) = 3/5
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2. A pharmacist has filled a box with six different kinds of antibiotic capsules.
There are a total of 300 capsules, which are distributed as follows: tetracycline(15), penicillin(30), minocycline(45), Bactrim(60), streptomycin(70), and Zithromax(80).
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She asks her assistant to mix the pills thoroughly and to withdraw a single capsule from the box. What is the probability that the capsule selected is:
a. either penicillin or streptomycin: (30+70)/300 = 1/3
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b. neither Zithromax nor tetracycline: 1 - (80+15)/300 = 205/300
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c. Bactrim: 60/300 = 1/5
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d. not penicillin = 270/300 = 9/10
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e. either minocycline, Batrim, or tetracycline?
Leave that to you.
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Cheers,
Stan H.
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