A card is drawn from a well-shuffled deck of 36 playing cards. Let E denote the event that the card drawn is red and let F denote the event that the card drawn is a hearts. Determine whether E and F are dependent events.
A) independent
B) dependent

Question

A card is drawn from a well-shuffled deck of 36 playing cards. Let E denote the event that the card drawn is red and let F denote the event that the card drawn is a hearts. Determine whether E and F are dependent events. 
A) independent
B) dependent

Quizplus · Accepted Answer

E and F are dependent events because drawing a red card increases the probability of drawing a heart, since half of the red cards in the deck are hearts. Therefore, the occurrence of event E affects the probability of event F.

A Card Is Drawn from a Well-Shuffled Deck of 36