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Probability question

2024 · 8 Apr · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Probability
2024 · 8 Apr · Shift 2 · Q33

Probability question

2024 · 8 Apr · Shift 2 · Q33

JEE MainMathematicsProbabilityMCQ+4 / −1

There are three bags

X, Y

and

Z

. Bag

X

contains 5 one-rupee coins and 4 five-rupee coins; Bag

Y

contains 4 one-rupee coins and 5 five-rupee coins and Bag

Z

contains 3 one-rupee coins and 6 five-rupee coins. A bag is selected at random and a coin drawn from it at random is found to be a one-rupee coin. Then the probability, that it came from bag

\mathrm{Y}

, is :

A
$\frac{1}{2}$
B
$\frac{1}{3}$
C
$\frac{5}{12}$
D
$\frac{1}{4}$

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