You have a special deck of 16 cards as described below:
- 4 blue cards numbered 1 through 4
- 4 yellow cards numbered 1 through 4
- 4 green cards numbered 1 through 4
- 4 red cards numbered 1 through 4
The sample space for picking a single card at random is represented by
{b1, b2, b3, b4, y1, y2, y3, y4, g1, g2, g3, g4, r1, r2, r3, r4}
If event E is defined as "the card is green" and event F is defined as "the number on the card is less than 3", what is the intersection of E and F (
E∩F)?
The cards that satisfy event E (the card is green) are {g1, g2, g3, g4}, and the cards that satisfy event F (the number on the card is less than 3) are {b1, b2, y1, y2, g1, g2, r1, r2}.
The intersection of E and F (E∩F) is the set of cards that satisfy both event E and event F, which is {g1, g2}.