Question

A standard deck of cards has 13 cards that are clubs and 13 cards that are hearts. A card is chosen from a standard deck of cards. It is then replaced, and a second card is chosen from the deck.

What is P(2 cards are clubs)?

1 over 26
one fourth
one half
three fourths

Answer 1

Answer: 1/4 (choice C)

Step-by-step explanation:

Assuming this deck only has 13 clubs and 13 hearts, then we have 13+13 = 26 cards total. Of those 26, we have 13 clubs. So 13/26 = 1/2 of the cards are clubs.

(1/2)*(1/2) = 1/4 is the probability of getting 2 clubs in a row when replacement is done.