SOLUTION: suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to

Algebra ->  Probability-and-statistics -> SOLUTION: suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to       Log On


   



Question 1037601: suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4.
A) Find the probability that a marble is chosen from Jar 1 and that it is black
B) Find the probability that a marble was chosen from jar 2 and that it is white
C) Find the probability that a black marble was chosen given that it is from jar 2.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4.
A) Find the probability that a marble is chosen from Jar 1 and that it is black
P(JarI and black) = (1/4)(4/9) = 1/9
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B) Find the probability that a marble was chosen from jar 2 and that it is white
P(JarII and white) = (3/4)(7/9) = 21/36 = 7/9
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C) Find the prob that a black marble was chosen given that it is from jar 2.
P(black | JarII) = P(black and JarII)/P(Jar II) = (2/9)/(3/4) = 8/27
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Cheers,
Stan H.
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