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Joint Entrance Examination
Mathematics
Probability
Question 287
Question 287 of 417
Easy
MCQ
A math problem given to A, B, C with probabilities of solving
1
2
,
1
3
,
1
4
\dfrac12,\dfrac13,\dfrac14
2
1
,
3
1
,
4
1
. Find the probability the problem is solved.
A
3
/
4
3/4
3/4
B
1
/
2
1/2
1/2
C
2
/
3
2/3
2/3
D
1
/
3
1/3
1/3
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Official solution
\[P(\text{solved}) = 1-\left(1-\frac12\right)\left(1-\frac13\right)\left(1-\frac14\right) = 1-\frac12\times\frac23\times\frac34=1-\frac14=\frac34\]
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