Question

​12. The events , A₁ and A₂ of a random experiment are as follows. Find the sets showing the union
event A₁ U A₂, and intersection event A₁ intersect A₂

A₁ = {x/0<x<5},
A₂ = {x/-1<x<3 , x is an integer}

Answer 1

Answer:

Solution

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Given that,

P(

A

ˉ

)

P(A)

=

11

5

We know that,

P(

A

ˉ

)=1−P(A)

Now,

1−P(A)

P(A)

=

11

5

⇒11P(A)=5−5P(A)

⇒16P(A)=5

⇒P(A)=

16

5

and P(

A

ˉ

)=1−P(A)=1−

16

5

=

16

11

Explanation:

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