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Byju's Answer

Standard VIII

Mathematics

Sure Event

If A and B ar...

Question

If A and B are any two events such that P (A) + P (B) − P (A and B) = P (A), then

(A) P (B|A) = 1 (B) P (A|B) = 1

(C) P (B|A) = 0 (D) P (A|B) = 0

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Solution

Thus, the correct answer is B.

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Similar questions

IF A and B are any two events such that P(A) + P(B) - P (A and B ) = P(A), then
(a) $P (\frac{B}{A}) = 1$
(b) $P (\frac{A}{B}) = 1$
(c) $P (\frac{B}{A}) = 0$
(d) $P (\frac{A}{B}) = 0$

Q. If two events A and B are such that P(A) > 0 and

P (B) \neq 1

, then

P (\frac{¯ A}{¯ B})

is equal to

Q. If

A

and

B

are two events such that

A \subset B

and

P (B) \neq 0

, then which of the following is correct?

Q. Let

A

and

B

be two events such that

P (A \cup B) = P (A) + P (B) - P (A) P (B)

. If

0 < P (A) < 1

and

0 < P (B) < 1

, then

P (A \cup B)^{'}

is equal to

Q. If A and B are two events such that
(i) P (A) = 1/3, P (B) = 1/4 and P (A ∪ B) = 5/12, find P (A/B) and P (B/A).
(ii) P (A) =

\frac{6}{11},

P (B) =

\frac{5}{11}

and P (A ∪ B) =

\frac{7}{11},

find P (A ∩ B), P (A/B), P (B/A).
(iii) P (A) =

\frac{7}{13},

P (B) =

\frac{9}{13}

and P (A ∩ B) =

\frac{4}{13},

find

P (A / B) .

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If A and B are any two events such that P (A) + P (B) − P (A and B) = P (A), then (A) P (B|A) = 1 (B) P (A|B) = 1 (C) P (B|A) = 0 (D) P (A|B) = 0

Thus, the correct answer is B.

If A and B are any two events such that P (A) + P (B) − P (A and B) = P (A), then

(A) P (B|A) = 1 (B) P (A|B) = 1

(C) P (B|A) = 0 (D) P (A|B) = 0