(D) For two mutually exclusive events $A$ and $B$,the probability of $A$ or $B$ occurring is given by the addition theorem: $P(A \cup B) = P(A) + P(B)

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(D) For two mutually exclusive events $A$ and $B$,the probability of $A$ or $B$ occurring is given by the addition theorem: $P(A \cup B) = P(A) + P(B)$ Substituting the given values: $P(A \cup B) = 0.45 + 0.35 = 0.8$ Thus,the correct option is $D$.

Class 11 Mathematics Probability Odds in favor and odds against, Addition theorem on probability

Easy

Given two mutually exclusive events $A$ and $B$ such that $P(A) = 0.45$ and $P(B) = 0.35,$ then $P(A \text{ or } B) =$

A
$0.1$
B
$0.25$
C
$0.15$
D
$0.8$

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Probability

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Odds in favor and odds against, Addition theorem on probability

If $P(A \cup B) = \frac{2}{3}$,$P(A \cap B) = \frac{1}{6}$,and $P(A) = \frac{1}{3}$,then which of the following is true?

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The probabilities of three mutually exclusive events are $\frac{2}{3}$,$\frac{1}{4}$,and $\frac{1}{6}$. The statement is:

Easy

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There are $100$ lottery tickets numbered from $1$ to $100$. If a ticket is drawn at random,find the probability that the number on it is a multiple of $3$ or $5$.

Medium

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If an integer is chosen at random from the first $100$ positive integers,then the probability that the chosen number is a multiple of $4$ or $6$ is:

Medium

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If the probability for $A$ to fail in an exam is $0.2$ and that for $B$ is $0.3$,then the probability that either $A$ or $B$ fails is $\leq \ldots \ldots$.

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Given two mutually exclusive events $A$ and $B$ such that $P(A) = 0.45$ and $P(B) = 0.35,$ then $P(A \text{ or } B) =$

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If $P(A \cup B) = \frac{2}{3}$,$P(A \cap B) = \frac{1}{6}$,and $P(A) = \frac{1}{3}$,then which of the following is true?

The probabilities of three mutually exclusive events are $\frac{2}{3}$,$\frac{1}{4}$,and $\frac{1}{6}$. The statement is:

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