SOLUTION: You draw a card from a standard deck of 52 cards, then roll a 6-sided die. 1. What is the probability of drawing an two card, and rolling a two on the die? 2. What is the prob

Algebra ->  Permutations -> SOLUTION: You draw a card from a standard deck of 52 cards, then roll a 6-sided die. 1. What is the probability of drawing an two card, and rolling a two on the die? 2. What is the prob      Log On


   



Question 977178: You draw a card from a standard deck of 52 cards, then roll a 6-sided die.
1. What is the probability of drawing an two card, and rolling a two on the die?
2. What is the probability of drawing an even card, and rolling an even number on the die?
(Express your answer as a fraction.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The first is 1/13. The second is 1/6.
They are independent, so you multiply the probabilities: 1/78.
This is not 1/2, since there are 36 non-numeric cards and therefore the first probability is 20/52.
The second is 1/2
The joint probability is 10/52 or 5/26.