NIMCET 2021 Question Paper with solutions

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Question : 19 of 120

Marks: +1, -0

The probability of occurrence of two event

{E}

and

{F}

are

0.25 \ \&\ 0.50

respectively. The probability of their simultaneously occurrence is

0.14

The probability that neither

{E}

nor

{F}

occurs is

$0.61$
$0.11$
$0.39$
$0.89$

Solution:

P(A \∪B)=P(A)+P(B)-P(A \∩B)

P(A \∪B)=0.25+0.5-0.14

P(A \∪B)=0.61

\∴P(\ov {A} \∩\ov {B})=P(\ov {A \∪B})

=1-{P}({A} \∪{B})

=1-0.61

=0.39

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