NIMCET 2017 Question Paper with solutions

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Question : 78 of 120

Marks: +1, -0

If

E_1

and

E_2

are two events associated with a random experiment such that P

(E_2)

= 0.35, P

(E_1 \or E_2)

= 0.85 and P

(E_1 \and E_2)

= 0.15, then P

(E_1)

is

0.25
0.35
0.65
0.75

Solution:

We have,
P (

E_2

) = 0.35
P (

E_1

or

E_2

) = 0.85
P (

E_1

and

E_2

) = 0.15
We know that,
P (

E_1

or

E_2

) =

P(E_1)

+

P(E_2)

- P (

E_1

and

E_2

)
⇒ 0.85 =

P(E_)

+ 0.35 - 0.15
⇒

P(E_1)

= 0.85 - 0.35 + 0.15 = 0.65

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