If A and B are events, the probability of occurrence of A and B simultaneously is given as _______.

P(A) + P(B)

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P (A \cup B)

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P(AB)

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P(A) P(B)

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Solution

The correct option is C P(AB)
If A and B are two events, then P(AB) refers to as the probability of the occurrence of A and B simultaneously.
P(AB) = P(A) x P(B)

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Similar questions

Q. If A and B are two events, the probability that at least one of them occurs is
(a) P(A) + P(B) – 2 P(A ∩ B)
(b) P(A) + P(B) – P(A ∩ B)
(c) P(A) + P(B) + P(A ∩ B)
(d) P(A) + P(B) + 2P(A ∩ B)

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate $P (¯ A) + P (¯ B)$ .

Q. Let

P (E)

denote the probability of occurrence of event

E .

A

and

B

are two events associated with an experiment such that

∣ ∣ ∣ ∣ ∣ \begin{matrix} P (A) - 1 & P (B) & - P (A \cap B) P (B) & - P (A \cap B) & P (A) - 1 - P (A \cap B) & P (A) - 1 & P (B) \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0,

then

Q. Assertion :If

P (A / B) = P (B / A)

. A, B are two non mutually exclusive events then

P (A) = P (B)

. Reason: For non mutually exclusive events

(A \cap B) \neq ϕ

and

P (A / B) = \frac{P (A \cap B)}{P (B)}

P (B / A) = \frac{P (A \cap B)}{P (A)}

Q. If A, B and C are independent events such that P(A) = P(B) = P(C) = p, then find the probability of occurrence of at least two of A, B and C.

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If A and B are events, the probability of occurrence of A and B simultaneously is given as _______.

The correct option is C P(AB)If A and B are two events, then P(AB) refers to as the probability of the occurrence of A and B simultaneously.P(AB) = P(A) x P(B)

The correct option is C P(AB)
If A and B are two events, then P(AB) refers to as the probability of the occurrence of A and B simultaneously.
P(AB) = P(A) x P(B)