A coin is flipped, a die is rolled, and a card is drawn from a standard deck of cards. What is the probability of the following event? P(tails and 3, and king)?
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hartnn (hartnn):
can u find the probability of getting a tail when a coin is flipped ?
p(tail) = ?
OpenStudy (anonymous):
I'll try, Hold on.
OpenStudy (anonymous):
1/2? idk :/
hartnn (hartnn):
yup, its 1/2.
now do u know the probability of getting a 3 when a dice is rolled ?
OpenStudy (anonymous):
I think, Isn't it P(even)=3/6 and P(odd)=1/2?
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hartnn (hartnn):
yes, but we want P(3)
now since a dice has 1 to 6 faces, and 3 appears only once,
the probability of getting a '3' will be 1/6
got this ?
OpenStudy (anonymous):
Got it.
hartnn (hartnn):
so what did u get your final answer as?
OpenStudy (anonymous):
But it also says a king?
OpenStudy (anonymous):
If you mulitply 1/2 and 1/6 you get 1/12
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hartnn (hartnn):
yes, king is remaining,
there are 4 kings in deck of 52 cards.
so probability is 4/52 = 1/13
overall probability = 1/2 * 1/6 * 1/13