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Thu 9 Jun, 2005 12:34 am
A bag of marbles contains only the colors yellow, green and blue.
a) THe probability of getting a yellow marble is 2/3. What is the probability of getting a blue or green?
b) The probability of getting a green marble is 1/4. What is the probability of getting a blue marble?
c) There are 24 marbles in the bag. HOw many are blue?
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yellow:2/3;
blue or green:1-2/3=1/3. (The sum of pribabilities of events is 1.)
1/3=Pr(blue)+1/4.
Hence, Pr(blue)=1/3 - 1/4=(4-3)/12=1/12.
1/12 = 2/24, and hence the number of blue marbles is 2.
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