Probability between two numbers chosen from 1 to 30.












0












$begingroup$


What is the probability that you choose an odd number or a multiple of six?



The same number can be chosen twice.



I was stuck on this problem earlier in class, and my teacher said the answer was 2/3, but I am convinced that would be the answer if only one integer was chosen. Could you work this out and show me how to solve this?










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$endgroup$












  • $begingroup$
    Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
    $endgroup$
    – Simon S
    May 6 '15 at 18:06










  • $begingroup$
    You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
    $endgroup$
    – SebiSebi
    May 6 '15 at 18:06










  • $begingroup$
    The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
    $endgroup$
    – N. F. Taussig
    May 6 '15 at 18:11










  • $begingroup$
    Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
    $endgroup$
    – OSG
    May 6 '15 at 18:30
















0












$begingroup$


What is the probability that you choose an odd number or a multiple of six?



The same number can be chosen twice.



I was stuck on this problem earlier in class, and my teacher said the answer was 2/3, but I am convinced that would be the answer if only one integer was chosen. Could you work this out and show me how to solve this?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
    $endgroup$
    – Simon S
    May 6 '15 at 18:06










  • $begingroup$
    You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
    $endgroup$
    – SebiSebi
    May 6 '15 at 18:06










  • $begingroup$
    The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
    $endgroup$
    – N. F. Taussig
    May 6 '15 at 18:11










  • $begingroup$
    Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
    $endgroup$
    – OSG
    May 6 '15 at 18:30














0












0








0





$begingroup$


What is the probability that you choose an odd number or a multiple of six?



The same number can be chosen twice.



I was stuck on this problem earlier in class, and my teacher said the answer was 2/3, but I am convinced that would be the answer if only one integer was chosen. Could you work this out and show me how to solve this?










share|cite|improve this question









$endgroup$




What is the probability that you choose an odd number or a multiple of six?



The same number can be chosen twice.



I was stuck on this problem earlier in class, and my teacher said the answer was 2/3, but I am convinced that would be the answer if only one integer was chosen. Could you work this out and show me how to solve this?







probability






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked May 6 '15 at 18:02









OSGOSG

31




31












  • $begingroup$
    Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
    $endgroup$
    – Simon S
    May 6 '15 at 18:06










  • $begingroup$
    You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
    $endgroup$
    – SebiSebi
    May 6 '15 at 18:06










  • $begingroup$
    The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
    $endgroup$
    – N. F. Taussig
    May 6 '15 at 18:11










  • $begingroup$
    Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
    $endgroup$
    – OSG
    May 6 '15 at 18:30


















  • $begingroup$
    Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
    $endgroup$
    – Simon S
    May 6 '15 at 18:06










  • $begingroup$
    You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
    $endgroup$
    – SebiSebi
    May 6 '15 at 18:06










  • $begingroup$
    The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
    $endgroup$
    – N. F. Taussig
    May 6 '15 at 18:11










  • $begingroup$
    Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
    $endgroup$
    – OSG
    May 6 '15 at 18:30
















$begingroup$
Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
$endgroup$
– Simon S
May 6 '15 at 18:06




$begingroup$
Of the integers ${ 1, 2, ..., 29, 30 }$ how many are odd or multiples of $6$?
$endgroup$
– Simon S
May 6 '15 at 18:06












$begingroup$
You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
$endgroup$
– SebiSebi
May 6 '15 at 18:06




$begingroup$
You choose 2 numers from 1 to 30? Your question is what is the probability that one number is either an odd number or a multiple of 6?
$endgroup$
– SebiSebi
May 6 '15 at 18:06












$begingroup$
The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
$endgroup$
– N. F. Taussig
May 6 '15 at 18:11




$begingroup$
The question is asking if a single number is chosen from the set ${1, 2, 3, ldots, 30}$, what is the probability that the number is odd or a multiple of six? Try working out the details, then show us your solution so that we can check it.
$endgroup$
– N. F. Taussig
May 6 '15 at 18:11












$begingroup$
Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
$endgroup$
– OSG
May 6 '15 at 18:30




$begingroup$
Ok, so there is an issue in semantics here. My teacher makes her own tests, and this one just didn't make sense to me.
$endgroup$
– OSG
May 6 '15 at 18:30










1 Answer
1






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oldest

votes


















0












$begingroup$


Count the odd numbers less than 30, call it $a$



Count the multiples of 6 less than 30, call it $b$



Then count the odd numbers which are multiples of 6 and are less than 30, call it $c$



Your probability will be $frac{a}{30} + frac{b}{30} -frac{c}{30}$



You get it?







share|cite|improve this answer











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    1 Answer
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    active

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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

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    0












    $begingroup$


    Count the odd numbers less than 30, call it $a$



    Count the multiples of 6 less than 30, call it $b$



    Then count the odd numbers which are multiples of 6 and are less than 30, call it $c$



    Your probability will be $frac{a}{30} + frac{b}{30} -frac{c}{30}$



    You get it?







    share|cite|improve this answer











    $endgroup$


















      0












      $begingroup$


      Count the odd numbers less than 30, call it $a$



      Count the multiples of 6 less than 30, call it $b$



      Then count the odd numbers which are multiples of 6 and are less than 30, call it $c$



      Your probability will be $frac{a}{30} + frac{b}{30} -frac{c}{30}$



      You get it?







      share|cite|improve this answer











      $endgroup$
















        0












        0








        0





        $begingroup$


        Count the odd numbers less than 30, call it $a$



        Count the multiples of 6 less than 30, call it $b$



        Then count the odd numbers which are multiples of 6 and are less than 30, call it $c$



        Your probability will be $frac{a}{30} + frac{b}{30} -frac{c}{30}$



        You get it?







        share|cite|improve this answer











        $endgroup$




        Count the odd numbers less than 30, call it $a$



        Count the multiples of 6 less than 30, call it $b$



        Then count the odd numbers which are multiples of 6 and are less than 30, call it $c$



        Your probability will be $frac{a}{30} + frac{b}{30} -frac{c}{30}$



        You get it?








        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited May 10 '15 at 17:37

























        answered May 6 '15 at 18:14









        Luis FelipeLuis Felipe

        1,597829




        1,597829






























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