JEE MAIN - Mathematics (2022 - 27th June Evening Shift - No. 12)

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 < 1 is :

$${1 \over 6}$$

$${5 \over 6}$$

$${2 \over 3}$$

$${6 \over 7}$$

The required probability

JEE Main 2022 (Online) 27th June Evening Shift Mathematics - Probability Question 94 English Explanation

$$ = {\text{Area of Region PQCAP} \over \text{Area of Region ABCA}}$$

$$ = {{{1 \over 2} \times 8 \times 6 - {1 \over 2} \times 2 \times 4} \over {{1 \over 2} \times 8 \times 6}}$$

$$ = {5 \over 6}$$