You draw two cards from a standard deck of 52 cards and do not replace the first one before drawing the second. State whether the following statement is true or false. The outcomes for the two cards are independent.
A)true
B)false

Question

Quizplus · Accepted Answer

The outcomes for the two cards are not independent because the probability of drawing the second card depends on the identity of the first card. If the first card drawn is an Ace of spades, then the probability of drawing another Ace of spades on the second draw is 0, which affects the probabilities of all other cards being drawn on the second draw. Therefore, the outcomes for the two cards are not independent.

You Draw Two Cards from a Standard Deck of 52