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Probability question

2014 · Shift 2 · Q25

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PYQ Library
JEE Advanced
Mathematics
Probability
2014 · Shift 2 · Q25

Probability question

2014 · Shift 2 · Q25

JEE AdvancedMathematicsProbabilityMCQ+3 / −1

Box

1

contains three cards bearing numbers

1,2,3;

box

2

contains five cards bearing numbers

1,2,3,4,5;

and box

3

contains seven cards bearing numbers

1,2,3,4,5,6,7.

A card is drawn from each of the boxes. Let

{x_i}

be number on the card drawn from the

{i^{th}}

box,

i=1,2,3.

The probability that

{x_1} + {x_2} + {x_3}

is odd, is

A
${{29} \over {105}}$
B
${{53} \over {105}}$
C
${{57} \over {105}}$
D
${{1} \over {2}}$

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