Probability

If $P(A) = \frac{3}{5}$ and $P(B) = \frac{1}{5}$, find $P(A \cup B)$ if $A$ and $B$ are mutually exclusive events.

If $P(A) = \frac{1}{2}$ and $P(B) = 0$, then $P(A/B)$ is:

If $A$ and $B$ are two events such that $P(A) \neq 0$ and $P(B/A) = 1$, then:

If $P(A) = 0.6$, $P(B) = 0.3$ and $P(A \cap B) = 0.2$, what is $P(A/B)$?

If $A$ and $B$ are independent events with $P(A) = 0.3$ and $P(B) = 0.4$, then $P(A \cap B)$ is equal to:

The probability of occurrence of an event $A$ is 0.7. What is the probability of the event 'not $A$'?

If $P(A) = 0.4$ and $P(A \cup B) = 0.7$, and $A, B$ are independent events, then $P(B)$ is:

Which of the following cannot be the probability of an event?

A die is thrown once. The probability of getting a prime number is:

If $A$ and $B$ are two events such that $P(A) = 0.5$, $P(B) = 0.3$ and $P(A \cap B) = 0.1$, then $P(A' \cap B')$ is equal to:

Two cards are drawn at random from a pack of 52 cards. The probability that both are kings is:

If $P(A/B) > P(A)$, then which of the following is correct?

If $A$ and $B$ are mutually exclusive events, then:

A coin is tossed 3 times. The probability of getting at least one head is:

If $P(A) = \frac{1}{3}$, $P(B) = \frac{1}{4}$ and $P(A \cup B) = \frac{1}{2}$, then $P(A/B)$ is equal to:

If $E$ and $F$ are events such that $0 < P(F) < 1$, then:

The probability that a leap year selected at random contains 53 Sundays is:

If $A$ and $B$ are independent events, then which of the following is NOT necessarily true?

A bag contains 3 red and 5 black balls. If two balls are drawn at random, the probability that both are red is:

If $P(A) = 0.8$ and $P(B/A) = 0.4$, then $P(A \cap B)$ is equal to: