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Question

A and B be two independent events of a sample space such that $$P(A) = 0.2, P(B) = 0.5$$
LIST-I                  LIST-II
A) $$P(B/A)$$             1$$. 0.2$$
B) $$P(A/B)$$            2 $$. 0.1$$
C) $$P(A\cap B)$$          3$$  . 0.3$$
D) $$P(A\cup B)$$         4 $$. 0.6$$
                                5$$. 0.5$$
The correct match for List-I from List-II
        A B C D


A
4,5,3,1
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B
5,1,2,4
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C
3,1,2,4
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D
2,1,4,5
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Solution

The correct option is C $$5, 1, 2, 4$$
$$A$$ and $$B$$ both are independent event.

A)$$P(B/A)=P(B)=0.5$$

B)$$P(A/B)=P(A)=0.2$$
C)$$P(A\cup B)=P(A)\times P(B)=0.5\times 0.2=0.1$$
D)$$P(A\cap B)=P(A)+P(B)-P(A)\times P(B)=0.5+0.2-(0.5\times 0.2)=0.6$$
$$\therefore\ A B C D \rightarrow  5 1 2 4$$

Mathematics

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