Quantitative Aptitude MCQ - Probability

Correct AnswerOption B
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Probability

Let A be the event of getting 5 or 6
P(A) = 1/3 and B be the event of getting 1,2,3,4
P(B) = 2/3
In order to get a 'Head' before "5 or 6",  the
following events have to occur:
H, TBH, TBTBH, TBTBTBH, ....

 Probability

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Correct AnswerOption B
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Number of ways different numbers can occur
on six dice = 6!

Total number of ways of occurrence = 65
Required probability,  Probability

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Correct AnswerOption A
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Probability of drawing a white ball from Box B will depend on whether 
transferred ball is black or white.
If a black ball is transferred then its probability is 4/6
There are now 5 white and 8 black balls in the
box B. Then probability of drawing white ball
from the Box B = 5/13
Hence probability of drawing a white ball from
urn B, if the transferred ball is black

                                          Probability

Similarly, probability of drawing a white ball
from urn E, if transferred ball is white

 Probability

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Correct AnswerOption A
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P(A) = 0
A = φ
A ∩ B = φ
P(A ∩ B) = P(φ) = 0
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Correct AnswerOption A
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