(D) When a die is thrown,the sample space is $S = \{1, 2, 3, 4, 5, 6\}$.Event $A$ is a number less than $7$,so $A = \{1, 2, 3, 4, 5, 6\}$.Event $B$ is

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(D) When a die is thrown,the sample space is $S = \{1, 2, 3, 4, 5, 6\}$.Event $A$ is a number less than $7$,so $A = \{1, 2, 3, 4, 5, 6\}$.Event $B$ is a number greater than $7$,so $B = \emptyset$ (impossible event).Event $C$ is a multiple of $3$,so $C = \{3, 6\}$.Therefore,$B \cup C = \emptyset \cup \{3, 6\} = \{3, 6\}$.

Class 11 Mathematics Probability Set Based probability

Easy

$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

A
$A = \{1, 2, 3, 4, 5, 6\}$
B
$B = \emptyset$
C
$C = \{3, 6\}$
D
$B \cup C = \{3, 6\}$

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$A$ die is formed so that the probability of getting a number $i$ when it is rolled is proportional to $i$ $(i=1, 2, 3, 4, 5, 6)$. The probability of getting an odd number on the die when it is rolled is

MediumAP EAMCET 2018

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Easy

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Let $X$ be a set containing $n$ elements. If two subsets $A$ and $B$ of $X$ are picked at random,the probability that $A$ and $B$ have the same number of elements is:

Difficult

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If $A$ and $B$ are any two events,then the probability that exactly one of them occurs is

EasyIIT 1984

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If $\frac{1 + 3p}{3}, \frac{1 - p}{4}$ and $\frac{1 - 2p}{2}$ are the probabilities of three mutually exclusive events,then the set of all values of $p$ is

DifficultIIT 1986

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$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

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$A$ die is formed so that the probability of getting a number $i$ when it is rolled is proportional to $i$ $(i=1, 2, 3, 4, 5, 6)$. The probability of getting an odd number on the die when it is rolled is

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