Monday, May 24, 2010

Guys i need help with probability paper which is due today. this problems has to do with playing cards?

find the probability of a drawing a club or an ace from a regular deck of playing cards.





answer 1: the answer is 17/52 since there are 13 clubs and 4 aces in a standard deck.





Answer 2: The answer is 4/52 because there are 4 aces in every standard deck





do you agree with either answer or do you have a different answer? explain how you solved this in words or in math

Guys i need help with probability paper which is due today. this problems has to do with playing cards?
there are 52 cards in a deck


there are 13 clubs


there are 4 aces


since you want to find the probability of something happening OR something else happening, you will find the probability of each separate thing happening and then add them (if you wanted to find probability of something happening AND something else happening, you would multiply probabilities)





the probability of drawing a club is 13/52


the probability of drawing an ace is 4/52


13/52 + 4/52 is 17/52





so you would think you'd have a 17/52 chance of drawing an ace or a club





BUT





there is the ace of clubs. it's an ace, and it's a club. so if you said the probability was 17/52, you would have counted the ace of clubs twice, once as a club, and once as an ace. but there's only one card there!





so actually, the probability is 16/52, which reduces to 4/13
Reply:its 16/52 becasue you take the 13 clubs in the deck and the three other aces(one ace is already included as a club).
Reply:uuuuuuuuuuuh.. what?
Reply:There are 13 Clubs in a deck: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A





There are also Three additional aces: Ace(hearts), Ace (spades), Ace(diamands)





Probability if difined as:


Favorable Outcomes


---------------------------


Total Outcomes





Therefore, your answer is 16/52
Reply:in probability or means + so 4 aces 13 clubs = 17 so 17/52
Reply:There are 13 clubs in the pack including 1 of the aces. There are 3 other aces in the pack. Add these together and you have a 16 out of 52 chance of getting a club or an ace. You can simplify this down to 4 in 13 chance.
Reply:Your first answer sounds more reasonable since you also need to include clubs.....go with that one and good luck.
Reply:The probability of drawing an ace or a club is





p(A or Club) = 16/52





One of the clubs is an ace.

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