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

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Senior Manager
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The probability of pulling a black ball out of a glass jar [#permalink] New post 26 Jan 2006, 17:17
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D
E

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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).
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 [#permalink] New post 26 Jan 2006, 19:01
A = black
B = break
C = black and break

p(A) AND p(B) = p(C)
1/X * p(B) = 1/Y
p(B) = X/Y
VP
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 [#permalink] New post 26 Jan 2006, 19:20
Give it a shot..B



Prob. of pulling a black ball and breaking = prob. of pulling out a black ball * prob of breaking the jar.

Prob. of pulling a black ball and breaking = 1/y = x/y*1/x = 1/x*x/y.

Hence, the prob. of breaking = x/y.
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 [#permalink] New post 26 Jan 2006, 19:24
P(pull a black ball) = 1/X
P(pull a black ball and break jar) = P(pull a black ball) * P(break the jar) = 1/Y

I assume both are independent events.

So P(break the jar) = 1/Y / 1/X = X/Y
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 [#permalink] New post 27 Jan 2006, 01:01
P(A+B) = P(A) * P(B)

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

P(B) = X/Y
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

  [#permalink] 27 Jan 2006, 01:01
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