If four cards are drawn from a standard deck of 52 cards and NOT replaced, what is the probability of getting at least one heart?
HINT: Use the idea of the complement.

Question

If four cards are drawn from a standard deck of 52 cards and NOT replaced, what is the probability of getting at least one heart?  
HINT: Use the idea of the complement.

howard-wolowitz · Answer

Im not sure about this one hartann

hartnn · Answer

atleast 1  = 1- none

hartnn · Answer

first find the probability that ALL the cards are NOT hearts

howard-wolowitz · Answer

i think the answer is It is 1 - ((39/52) * (39/51) * (39/50) * (39/49)) 
or 1 - (.75 * .7647 * .78 * .795918) 
or 1 - .3560535 
or 0.6439

hartnn · Answer

almost!

note that the cards are not replaced.

so at first there are 39 non-heart cards, 
then there will be 38 ...

1 - ((39/52) * (38/51) * (37/50) * (36/49))

hartnn · Answer

makes sense?

howard-wolowitz · Answer

no

howard-wolowitz · Answer

why will there be 38

hartnn · Answer

say you chose King of Spades.

you did not put it back.

out of 39, this one was removed
hence 38

howard-wolowitz · Answer

ok i see

howard-wolowitz · Answer

the two answers i am getting here are .6439 and .6962

hartnn · Answer

why 2? 
its just 0.6962

howard-wolowitz · Answer

well you got 2 on your 0.6962

hartnn · Answer

lol i mean why do you have 'two' answers :P
1 - ((39/52) * (38/51) * (37/50) * (36/49))  = 0.6962 is the correct one :3