Why Is Calculating Card Probabilities Confusing?

AI Thread Summary
Calculating card probabilities can be confusing due to misunderstandings about the values of cards. In a standard deck, there are 12 cards divisible by 4, leading to a probability of 12/52 or 3/13, not 13/52. For the second problem, the correct calculation for cards divisible by 10 or 11 is indeed 4/52 for 10 and 4/52 for 11, totaling 8/52 or 2/13. The confusion often arises from miscounting the relevant cards in each category. Accurate identification of the cards is essential for correct probability calculations.
lorik
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Homework Statement


From 52 cards we draw one .Whats the probability that the drawn card is divisible by 4

Now : in my notebook its 12/52=3/13 .But shouldn't it be 13/52 ? BECAUSE clearly if we multiply 13 *4=52

Same problem : Whats the probability that of 52 cards I draw one that is divisible
with 10 or 11 .In notebook its like this P(a)+p(b)= 4/52+4/52=8/52=4/26=2/13

BUT shouldn't this as well be 5/52+5/52


Homework Equations





The Attempt at a Solution



PLEASE just tell the correct answer every time I post here somebody argues about pointless stuff and leaves me hanging with no clue !??

Sorry second problem fixed so 4/52+5/52 is correct ?
 
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lorik said:

Homework Statement


From 52 cards we draw one .Whats the probability that the drawn card is divisible by 4

Now : in my notebook its 12/52=3/13 .But shouldn't it be 13/52 ? BECAUSE clearly if we multiply 13 *4=52

Same problem : Whats the probability that of 52 cards I draw one that is divisible
with 10 or 11 .In notebook its like this P(a)+p(b)= 4/52+5/52=8/52=4/26=2/13

BUT shouldn't this as well be 5/52+5/52


Homework Equations





The Attempt at a Solution



PLEASE just tell the correct answer every time I post here somebody argues about pointless stuff and leaves me hanging with no clue !??

On the first one, your book is correct that there are 12 cards in the deck that have a value that is divisible by 4. What cards of each suit have a value that is divisible by 4?
 
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