SOLUTION: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking the remaining 3 cards. What is the probability that A has the joker?

Question 1086356: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking the
remaining 3 cards. What is the probability that A has the joker?
Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

If A has the joker, there are 7C4 ways he could have the other 4 non-jokers. So 7C4 is the numerator of the probability. There are 8C5 ways he could have any 5 cards. So 8C5 is the denominator of the probability. Answer: Edwin

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There are 56 possible combinations choosing 5 cards out of 8 total (A,B,C,D,E,F,G,J) where J is the joker.
There are 21 possible combinations choosing 5 cards out of 7 total.
(A,B,C,D,E,F,G) where there is no joker.
So in 21 of the 56 outcomes, the joker is in the B hand.
So in the A hand,

RELATED QUESTIONS
In a game room, there are three decks of cards: Deck 1 contains 5 red cards and 3 black... (answered by Edwin McCravy)
1. If you dealt 4 cards from shuffled deck of 52 cards, Find the probability that all 4... (answered by benplaksa)
The black face cards and the red cards numbered 3-7 are put into a bag. 4 cards are... (answered by VFBundy)
Hi A and B had some cards. After A lost 68 cards to B the ratio of cards that A and B... (answered by Theo,MathTherapy)
Hi 20% of the cards in a box are red. The number of blues cards is 1/4 the number of red (answered by ikleyn)
A box contains 3 blue cards and 3 white cards. If two cards are drawn one at a time, find (answered by stanbon)
You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming... (answered by ikleyn)
Question 1 - sebastian, a magician, claims to have extraordinary perception. In order to... (answered by solver91311)