ddmhopeful

2+ Year Member
Aug 2, 2016
11
1
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Pre-Dental
Hey guys, had a quick question about how to solve the following problem. I know it's really simple but I was wondering why the answer is 3/850 instead of 13/850?

I was thinking that the probability should be 13/52 (first club) * 12/51 (second club) * 13/50 (heart)

10. 3 cards are drawn without replacement from a deck of playing cards, with no jokers. What is the probability that the first 2 cards are clubs, and the third card is a heart face card?
 

moose786

2+ Year Member
Jan 25, 2016
46
19
Status
Pre-Dental
the question is asking for heart FACE cards, so the last probability you multiply by should be 4/50
Just a minor, but significant adjustment: you mean "3/50"

Hey guys, had a quick question about how to solve the following problem. I know it's really simple but I was wondering why the answer is 3/850 instead of 13/850?

I was thinking that the probability should be 13/52 (first club) * 12/51 (second club) * 13/50 (heart)

10. 3 cards are drawn without replacement from a deck of playing cards, with no jokers. What is the probability that the first 2 cards are clubs, and the third card is a heart face card?
Face cards are: Jack, Queen, King
There are 12 face cards total (4 of each since J, Q, and K can be heart, club, diamond, and spade)
Therefore, there are 3 total heart face cards in the entire deck.

You had set up the first two fractions correctly, but not the third:
13/52 (first club) * 12/51 (second club) * 3/50 (heart FACE)

Thus, after simplifying the product, your answer will be 3/850. Hope this helps!
 
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ddmhopeful

2+ Year Member
Aug 2, 2016
11
1
Status
Pre-Dental
hah my bad, thank youu
Just a minor, but significant adjustment: you mean "3/50"



Face cards are: Jack, Queen, King
There are 12 face cards total (4 of each since J, Q, and K can be heart, club, diamond, and spade)
Therefore, there are 3 total heart face cards in the entire deck.

You had set up the first two fractions correctly, but not the third:
13/52 (first club) * 12/51 (second club) * 3/50 (heart FACE)

Thus, after simplifying the product, your answer will be 3/850. Hope this helps!
thanks so much guys! i totally missed the "heart FACE cards" and kept thinking heart cards...