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) ?

Question

asked Feb 28, 2023 107k views

1 Answer

Lahiru Karunaratne · Answer 1 · 2023-03-05T02:34:09+0000

Hello!

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

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

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

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

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:

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