Question

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) ?

Answer 1

Hello!

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

`Set=\mleft\{1,2,3,4,5,6,7,8,9,10\mright\}`

Event A is drawing an even card:

`A=\mleft\lbrace2,4,6,8,10\mright\rbrace`

Event B is drawing a seven or higher:

`B=\mleft\lbrace7,8,9,10\mright\rbrace`

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:

`A\cap B=\mleft\lbrace8,10\mright\rbrace`