A die is thrown. Describe the following event | vedclass

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

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$\phi$

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(A) When a die is thrown,the sample space is $S = \{1, 2, 3, 4, 5, 6\}$.Event $A$ is defined as a number less than $7$,so $A = \{1, 2, 3, 4, 5, 6\}$.Event $B$ is defined as a number greater than $7$,so $B = \phi$ (since no such number exists on a standard die).The intersection $A \cap B$ represents the set of elements common to both $A$ and $B$.Since $B$ is an empty set,$A \cap B = \phi$.

$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$. Find $A \cap B$.

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