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Probability question

2011 · Shift 2 · Q29

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PYQ Library
JEE Advanced
Mathematics
Probability
2011 · Shift 2 · Q29

Probability question

2011 · Shift 2 · Q29

JEE AdvancedMathematicsProbabilityMultiple correct+4 / −1

Let

E

and

F

be two independent events. The probability that exactly one of them occurs is

\,{{11} \over {25}}

and the probability of none of them occurring is

\,{{2} \over {25}}

. If

P(T)

denotes the probability of occurrence of the event

T,

then

A
$P\left( E \right) = {4 \over 5},P\left( F \right) = {3 \over 5}$
B
$P\left( E \right) = {1 \over 5},P\left( F \right) = {2 \over 5}$
C
$P\left( E \right) = {2 \over 5},P\left( F \right) = {1 \over 5}$
D
$P\left( E \right) = {3 \over 5},P\left( F \right) = {4 \over 5}$

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