Question

You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 7 or higher.  What is the  P ( A ∩ B ) ?

please show your work!!

Answer 1

The probability of drawing an even card and a card 7 or higher is 0.1.

Step-by-step explanation:

Set A represents drawing an even card, which would be cards 2, 4, 6, 8, and 10. Set B represents drawing a 7 or higher, which would be cards 7, 8, 9, and 10. To find the probability of the intersection of A and B, we need to determine the cards that satisfy both conditions. In this case, only card 8 satisfies both conditions. Therefore, P(A ∩ B) = 1/10 = 0.1.

Answer 2

set A {2, 4, 6, 8, 10} (only even cards)

set B {7, 8, 9, 10} (7 or higher)

( A ∩ B ) means pick only the numbers both sets have in common

they both have 8 & 10 in common so answer is:

{8,10}