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Probability question

2016 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
Probability
2016 · Shift 2 · Q23

Probability question

2016 · Shift 2 · Q23

JEE AdvancedMathematicsProbabilityMCQ+3 / −1

Football teams

{T_1}

and

{T_2}

have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of

{T_1}

winning, drawing and losing a game against

{T_2}

are

{1 \over 2},{1 \over 6}

and

{1 \over 3}

respectively. Each team gets

3

points for a win,

1

point for a draw and

0

point for a loss in a game. Let

X

and

Y

denote the total points scored by teams

{T_1}

and

{T_2}

respectively after two games.

P\,\left( {X = Y} \right)

is

A
${{11} \over {36}}$
B
${{1} \over {3}}$
C
${{13} \over {36}}$
D
${{1} \over {2}}$

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