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You have a set of cards labeled one through ten. Event A is drawing an even card. Event B is drawing a seven or higher. What is the P(A∩B) ?

Sagot :

Hello!

First, let's write the information that we know and then each event:

[tex]Set=\mleft\{1,2,3,4,5,6,7,8,9,10\mright\}[/tex]

Event A is drawing an even card:

[tex]A=\mleft\lbrace2,4,6,8,10\mright\rbrace[/tex]

Event B is drawing a seven or higher:

[tex]B=\mleft\lbrace7,8,9,10\mright\rbrace[/tex]

When we use the interception symbol (∩), it means that we want to know which numbers are part of both sets simultaneously.

Let's calculate it:

[tex]A\cap B=\mleft\lbrace8,10\mright\rbrace[/tex]

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