[#1] PS Challenge : Range - Challenge Closed - No winner

MBA GMAT
1

For a change, a Math problem. Same rules as earlier challenges. time yourself. the correct and fastest wins. answers in 24hrs or after atleast 10 replies. good luck Two events A & B are such that P(A) = 0.83, P(B) = 0.25. If C i…

2

For a change, a Math problem.

Same rules as earlier challenges. time yourself. the correct and fastest wins.

answers in 24hrs or after atleast 10 replies. good luck


Two events A & B are such that P(A) = 0.83, P(B) = 0.25. If C is a set of possible values of probability that A & B both occur, Find the range of C?

3

No !dea :(

But just for a shot, I would say max would be 0.25 and least would be ZERO

0

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5

ok...here is the solution

Range = Max Value - Min Value.

1. The events A and B cannot be mutually exclusive.
P(A) + P(B) > 1
so, the minimum value of C cannot be 0.
the minimum C is 0.83 + 0.25 - 1 = 0.08

2. About the maximum, that will occur when B is a subset of A.
that is C = 0.25

your answer then is Range = 0.25 -0.08 =0.17


Sincerely
Aejaz