Calculate the probability of and odds for being dealt a king or a heart











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your are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a king or a heart



how to find this there are 4 kings and 13 hearts are there
so $P(k text{ or } h)=frac{4}{52}+frac{13}{52}-frac{1}{52}$ is im correct










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    Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
    – Eevee Trainer
    Nov 20 at 3:32








  • 2




    Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
    – Eevee Trainer
    Nov 20 at 3:36

















up vote
0
down vote

favorite












your are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a king or a heart



how to find this there are 4 kings and 13 hearts are there
so $P(k text{ or } h)=frac{4}{52}+frac{13}{52}-frac{1}{52}$ is im correct










share|cite|improve this question


















  • 2




    Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
    – Eevee Trainer
    Nov 20 at 3:32








  • 2




    Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
    – Eevee Trainer
    Nov 20 at 3:36















up vote
0
down vote

favorite









up vote
0
down vote

favorite











your are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a king or a heart



how to find this there are 4 kings and 13 hearts are there
so $P(k text{ or } h)=frac{4}{52}+frac{13}{52}-frac{1}{52}$ is im correct










share|cite|improve this question













your are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a king or a heart



how to find this there are 4 kings and 13 hearts are there
so $P(k text{ or } h)=frac{4}{52}+frac{13}{52}-frac{1}{52}$ is im correct







probability






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asked Nov 20 at 3:31









learner

957




957








  • 2




    Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
    – Eevee Trainer
    Nov 20 at 3:32








  • 2




    Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
    – Eevee Trainer
    Nov 20 at 3:36
















  • 2




    Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
    – Eevee Trainer
    Nov 20 at 3:32








  • 2




    Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
    – Eevee Trainer
    Nov 20 at 3:36










2




2




Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
– Eevee Trainer
Nov 20 at 3:32






Yup, you're correct! Just an anecdote, in terms of a formula, you can use $$P(A cup B) = P(A) + P(B) - P(A cap B)$$ If you're not familiar with that notation, it's basically saying the following: $$P(text{A or B}) = P(A) + P(B) - P(text{A and B})$$
– Eevee Trainer
Nov 20 at 3:32






2




2




Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
– Eevee Trainer
Nov 20 at 3:36






Though a footnote: the "odds" of something and "probability" of something are colloquially the same, but if you're finding both you want to use the formal definition of "odds," since technically they're different. (The probability is some % or fraction of something, where the odds are "5 to 1" or whatever - you might hear the latter during gambling, horse races in particular come to mind. What you have is the probability.) You can see this question on converting probability to odds: math.stackexchange.com/questions/1469242/…
– Eevee Trainer
Nov 20 at 3:36












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So you are dealt another card from a 51 card deck due to the first card being already picked? I am going to answer for if you drew neither a king or heart and then king or heart, then finally if you drew a King which is also a heart.



P(K or H) [Where the initially drawn card isn't K or H) = 13/51 + 4/51 - 1/51 = 16/51



P(K or H) [Where the initially drawn card is only K) = 12/51 + 4/51 - 1/51 = 15/51



P(K or H) [Where the initially drawn card is only H) = 13/51 + 3/51 - 1/51 = 15/51



P(K or H) [Where the initially drawn card is both K and H) = 12/51 + 3/51 - 0 = 15/51



If I may have misunderstood your question, and you are asking the initial card from a 52 card deck, then your answer is absolutely correct.






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    So you are dealt another card from a 51 card deck due to the first card being already picked? I am going to answer for if you drew neither a king or heart and then king or heart, then finally if you drew a King which is also a heart.



    P(K or H) [Where the initially drawn card isn't K or H) = 13/51 + 4/51 - 1/51 = 16/51



    P(K or H) [Where the initially drawn card is only K) = 12/51 + 4/51 - 1/51 = 15/51



    P(K or H) [Where the initially drawn card is only H) = 13/51 + 3/51 - 1/51 = 15/51



    P(K or H) [Where the initially drawn card is both K and H) = 12/51 + 3/51 - 0 = 15/51



    If I may have misunderstood your question, and you are asking the initial card from a 52 card deck, then your answer is absolutely correct.






    share|cite|improve this answer

























      up vote
      0
      down vote













      So you are dealt another card from a 51 card deck due to the first card being already picked? I am going to answer for if you drew neither a king or heart and then king or heart, then finally if you drew a King which is also a heart.



      P(K or H) [Where the initially drawn card isn't K or H) = 13/51 + 4/51 - 1/51 = 16/51



      P(K or H) [Where the initially drawn card is only K) = 12/51 + 4/51 - 1/51 = 15/51



      P(K or H) [Where the initially drawn card is only H) = 13/51 + 3/51 - 1/51 = 15/51



      P(K or H) [Where the initially drawn card is both K and H) = 12/51 + 3/51 - 0 = 15/51



      If I may have misunderstood your question, and you are asking the initial card from a 52 card deck, then your answer is absolutely correct.






      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        So you are dealt another card from a 51 card deck due to the first card being already picked? I am going to answer for if you drew neither a king or heart and then king or heart, then finally if you drew a King which is also a heart.



        P(K or H) [Where the initially drawn card isn't K or H) = 13/51 + 4/51 - 1/51 = 16/51



        P(K or H) [Where the initially drawn card is only K) = 12/51 + 4/51 - 1/51 = 15/51



        P(K or H) [Where the initially drawn card is only H) = 13/51 + 3/51 - 1/51 = 15/51



        P(K or H) [Where the initially drawn card is both K and H) = 12/51 + 3/51 - 0 = 15/51



        If I may have misunderstood your question, and you are asking the initial card from a 52 card deck, then your answer is absolutely correct.






        share|cite|improve this answer












        So you are dealt another card from a 51 card deck due to the first card being already picked? I am going to answer for if you drew neither a king or heart and then king or heart, then finally if you drew a King which is also a heart.



        P(K or H) [Where the initially drawn card isn't K or H) = 13/51 + 4/51 - 1/51 = 16/51



        P(K or H) [Where the initially drawn card is only K) = 12/51 + 4/51 - 1/51 = 15/51



        P(K or H) [Where the initially drawn card is only H) = 13/51 + 3/51 - 1/51 = 15/51



        P(K or H) [Where the initially drawn card is both K and H) = 12/51 + 3/51 - 0 = 15/51



        If I may have misunderstood your question, and you are asking the initial card from a 52 card deck, then your answer is absolutely correct.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 20 at 3:54









        THIS_GAMES_DOODOO

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