SOLUTION: A. What is the probability of drawing five royals (either a Jack, Queen, King or Ace) from five blind draws from a standard deck of 52 cards without replacement? B. Suppose ther

Algebra ->  Probability-and-statistics -> SOLUTION: A. What is the probability of drawing five royals (either a Jack, Queen, King or Ace) from five blind draws from a standard deck of 52 cards without replacement? B. Suppose ther      Log On


   



Question 869541: A. What is the probability of drawing five royals (either a Jack, Queen, King or Ace) from five blind draws from a standard deck of 52 cards without replacement?
B. Suppose there is there are 23 cards remaining from a standard deck of cards. 10 of the cards are diamonds, and 7 of the cards are hearts, and 4 of the cards are royal diamonds. If a card is blindly drawn from the pack of cards, what is that is the probability that it is a royal card given that it is a diamond?
Need some help plz

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Re TY, hope this helps
A. P = ways of choosing 5 royals(out of 12)/ways of choosing 5 cards from Deck
P = %2812C5%29%2F52C5%29 = 792/2598960 |Note: 12 face cards(royals) in the deck
B. P(R |D) =P(A|B) = P(A and B)/P(B)= %284%2F23%29%2F%2810%2F23%29 = 4/10 = 2/5
Note: only 23 cards in total