Checkpoint: Independent Events Solutions

Marco has a standard deck of cards. Determine the probability of Marco drawing the cards in the order listed with replacement.

P(ace of spades ⋂ 3 of spades) $= \frac{1}{52} \cdot \frac{1}{52} = \frac{1}{2704}$

P(♠ ⋂ K) $= \frac{13}{52} \cdot \frac{4}{52} = \frac{1}{4} \cdot \frac{1}{13} = \frac{1}{52}$

Note

Q: Knowing that a king of spades exists in the deck, explain how problem B is an independent event.

A: Because after each turn, the card is replaced in the deck.