SOLUTION: 1. In the contest of Serach for Most Outstanding Teacher, 3 candidates are teaching Mathematics, 2 are teaching English, 2 are teaching Science and 1 is teaching in Filipino. Wha

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Question 75220: 1. In the contest of Serach for Most Outstanding Teacher, 3 candidates are teaching Mathematics, 2 are teaching English, 2 are teaching Science and 1 is teaching in Filipino. What is the probability that the winner is teaching:
a. Mathematibs
b. Science
c. Filipino
d. Any subject except English
e. any subject except math
2. If the probabilities are 0.40, 0.55 and 0.3 that student will get a failing grade either in Accountancy or Marketing, or in both, what is the probability that he fail at least one of these subjects?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1. In the contest of Serach for Most Outstanding Teacher, 3 candidates are teaching Mathematics, 2 are teaching English, 2 are teaching Science and 1 is teaching in Filipino. What is the probability that the winner is teaching:
a. P(Mathematics)= 3/8
b. P(Science)=2/8
c. P(Filipino)=1/8
d. P(Any subject except English)=1-(2/8)=6/8
e. P(any subject except math)=1-(3/8)=5/8
-----------------
2. If the probabilities are 0.40, 0.55 and 0.3 that student will get a failing grade either in Accountancy or Marketing, or in both, what is the probability that he fail at least one of these subjects?
P(fail at least one)=?
P(fail Account OR Market)= P(fail Acc)+P(fail Mar)-P(fail both)=0.4+0.55-0.3=0.65
P(fail at least one)=0.65
============
Cheers,
Stan H.


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