statistics
posted by Anonymous .
Six cardsace, king, queen of hearts; ace, king of diamonds; and king of clubsare all placed face down a table. One card is to be selected at random. Find the probability:
a) of an ace, given that a diamond was turned
b) of an ace, given that a club was turned
c) of a heart, given that an ace was turned
d) of a club, given that a king was turned
e) Explain why it is true that P(A/C)=P(C/A)
After completing a through d, I thought I did them correctly unil I reached to e. Here are the answers I got: a) 2/5 b)2/5 c)1/5 d)1/5

Hummm, I do not agree with your answers ad.
a) given that a diamond was turned, it must have been an ace or king. So for a) I get 1/2.
b) given that a club was turned, it must have been a king. So for b) I get a zero probability.
Now then, notationally, does P(A/C) mean probability of an Ace given a club was turned. If so, P(A/C)=0, and P(C/A)=0 
how is that so when there are five cards faced down?

I get it. nevermind.
Respond to this Question
Similar Questions

PreCalc
A card game uses a pack of 24 cards, consisting of ace, king, queen, jack, 10, and 9 in each of the four suits spade, hearts, diamonds and clubs. A hand consist of 6 cards. Find the probability a hand includes all four aces. 
Stats
Directions: Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a queen … 
Stats
Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a queen and king) … 
maths
3 and 5 of spade, king and queen of club , 7 and 9 of diamond and ace of heart are removed (i) find the probability its a red card (ii) find the probability its neither king nor queen (iii) find the probability its a face card (iv) … 
statistic
For each of the following, assume you are working with a standard deck of 52 cards. There are 13 cards (2,3,4,5,6,7,8,9,10, jack, queen, king and Ace) in each of four suits (Clubs, Diamonds, Hearts, and Spades). a. What is P(Club) … 
Statistics
A standard pack of 52 cards consists of 4 suits, hearts, diamonds, clubs and spades. Each suit has 13 cards, from Ace to King. We deal randomly 5 cards from the deck of 52. 2 deals differing only by the order are considered the same. … 
Cards Probability
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 … 
ProbabilityCards
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 … 
Cards
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 … 
Combinatorics
The game is euchre which uses a 24 card deck (Ace through 9). The dealer picks up the King of diamonds, names diamonds trump, and discards the King of hearts. Dealer holds the K109 diamonds, Ace spades, and 9 of clubs. Q1. What is …