SOLUTION: The red face cards and the black cards numbered 2-9 are out into a bag. four cards are drawn at random without replacement. find the following probabilities: a. all 4 cards are re

Algebra ->  Probability-and-statistics -> SOLUTION: The red face cards and the black cards numbered 2-9 are out into a bag. four cards are drawn at random without replacement. find the following probabilities: a. all 4 cards are re      Log On


   



Question 912148: The red face cards and the black cards numbered 2-9 are out into a bag. four cards are drawn at random without replacement. find the following probabilities:
a. all 4 cards are red
b. two cards are red and two cards are black
c. at least one of the cards is red
d. all four cards are black
if you could explain how you got the answer that would be fantastic! Thanks

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Deck 12 face cards, 4 Aces, 32 cards numbered 2-9
Bag: 6 red face card, 16 black numbered 2-9, Total: 22
draw 4 w/o replacement
P(all red) = %286%2F22%29%285%2F21%29%284%2F20%29%283%2F19%29
P(2R AND 2B)= %286C2%29%2816C2%29%2F%2822C4%29
P(at least one red) = 1 - P(all black)
P(all black) = %2816%2F22%29%2815%2F21%29%2814%2F20%29%2813%2F19%29