Question

In a standard deck of playing cards, one half of the cards are red there are 3 decks of cards. One card is dealth from each deck. What is the probability that all 3 cards are red?
A. 2/3
B. 1/2
C. 1/3
D. 1/8

Answer 1

There are 26 red cards and 52 total cards in each deck. The probability that a card drawn from one deck is red is $\dfrac{26}{52}=\dfrac{1}{2}$. The probability that a card drawn from one deck is red is $\dfrac{1}{2}$. The probability that all 3 cards are red is $\left(\dfrac{1}{2}\right)^3=\boxed{\dfrac{1}{8}\text{(D)}}$.