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Home » A and B are two events such that P(A) =     , P(B) =     and     . Find: (i)     (ii)     (iii)     (iv)    
A and B are two events such that P(A) =

    \[1/2\]

, P(B) =

    \[1/3\]

and

    \[\mathbf{P}\left( \mathbf{A}\text{ }\mathbf{}\text{ }\mathbf{B} \right)\text{ }=\text{ }\mathbf{1}/\mathbf{4}\]

. Find: (i)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

(ii)

    \[\mathbf{P}\left( \mathbf{B}|\mathbf{A} \right)\]

(iii)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

(iv)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

CBSE | Class 12 | Exercise 1 | Maths | NCERT Exemplar | Probability
A and B are two events such that P(A) =

    \[1/2\]

, P(B) =

    \[1/3\]

and

    \[\mathbf{P}\left( \mathbf{A}\text{ }\mathbf{}\text{ }\mathbf{B} \right)\text{ }=\text{ }\mathbf{1}/\mathbf{4}\]

. Find: (i)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

(ii)

    \[\mathbf{P}\left( \mathbf{B}|\mathbf{A} \right)\]

(iii)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

(iv)

    \[\mathbf{P}\left( \mathbf{A}|\mathbf{B} \right)\]

Given, P(A) =

    \[1/2\]

, P(B) =

    \[1/3\]

and

    \[\mathbf{P}\left( \mathbf{A}\text{ }\mathbf{}\text{ }\mathbf{B} \right)\text{ }=\text{ }\mathbf{1}/\mathbf{4}\]

    \[P\left( A \right)\text{ }=\text{ }1\text{ }\text{ }1/2\text{ }=\text{ }1/2,\text{ }P\left( B \right)\text{ }=\text{ }1\text{ }\text{ }1/3\text{ }=\text{ }2/3\]

Now,

i

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