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The probability of pulling a black ball out of a glass jar

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Manager
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The probability of pulling a black ball out of a glass jar [#permalink] New post 13 Mar 2005, 13:02
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

a) 1/(XY).
b) X/Y.
c) Y/X.
d) 1/(X+Y).
e) 1/(X-Y).
Manager
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 [#permalink] New post 13 Mar 2005, 14:11
P(A And B) = P(A).P(B|A)

Where P(A) = probability of being black
P(B) = Probabilty of breaking the jar

from the data in the prob, 1/y = (1/x) * P(B|A) = x/y.

Not sure if this is the right approach for this problem. As x/y gives the probability of breaking the jar given that a black ball is drawn from the jar.
VP
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 [#permalink] New post 13 Mar 2005, 16:22
B too, same approach as prep_gmat
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 [#permalink] New post 13 Mar 2005, 23:03
Let A denote P(pulling black ball out of glass jar)= 1/x
B denote P(black ball out of glass jar and breaking jar) = 1/y
C denote P(breaking glass jar)

A AND C = B
(1/x)(C) = 1/y
(C) = x/y
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 [#permalink] New post 14 Mar 2005, 06:23
P(A and B) = P(A).P(B)
X/Y

Last edited by vprabhala on 14 Mar 2005, 09:56, edited 1 time in total.
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 [#permalink] New post 14 Mar 2005, 08:22
"B"

I think pulling a ball and breaking the jar r independent events so I don't think P(A|B) applies here.

For independent events:

P(A and B) = P(A).P(B)

1/Y = 1/X.P(B)


P(B) = X/Y
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 [#permalink] New post 14 Mar 2005, 11:12
X/y
prob of Blakc ball and Breaking jar= Prob of Black ball*prob of breaking jar=1/y
  [#permalink] 14 Mar 2005, 11:12
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