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Joint Entrance Examination
Mathematics
Probability
Question 394
Question 394 of 417
Medium
MCQ
If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x - 6y = 30, then the probability that y
A
\[{1 \over 6}\]
B
\[{5 \over 6}\]
C
\[{2 \over 3}\]
D
\[{6 \over 7}\]
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Official solution
The required probability \[ = {\text{Area of Region PQCAP} \over \text{Area of Region ABCA}}\] \[ = {{{1 \over 2} \times 8 \times 6 - {1 \over 2} \times 2 \times 4} \over {{1 \over 2} \times 8 \times 6}}\] \[ = {5 \over 6}\]
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