Probability problem with or/and (meaning of “neither”). [closed]

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In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?




Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?







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closed as off-topic by Extremal, Eric Wofsey, Shailesh, amWhy, Henrik Aug 11 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Extremal, Eric Wofsey, Shailesh, amWhy, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
    – Extremal
    Aug 10 at 23:28










  • This is more a problem about logic translation than about probability.
    – Taroccoesbrocco
    Aug 11 at 5:43















up vote
0
down vote

favorite













In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?




Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?







share|cite|improve this question














closed as off-topic by Extremal, Eric Wofsey, Shailesh, amWhy, Henrik Aug 11 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Extremal, Eric Wofsey, Shailesh, amWhy, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
    – Extremal
    Aug 10 at 23:28










  • This is more a problem about logic translation than about probability.
    – Taroccoesbrocco
    Aug 11 at 5:43













up vote
0
down vote

favorite









up vote
0
down vote

favorite












In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?




Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?







share|cite|improve this question















In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?




Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?









share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 11 at 5:46









Taroccoesbrocco

3,68451431




3,68451431










asked Aug 10 at 23:23









Breonna Carwile

11




11




closed as off-topic by Extremal, Eric Wofsey, Shailesh, amWhy, Henrik Aug 11 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Extremal, Eric Wofsey, Shailesh, amWhy, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by Extremal, Eric Wofsey, Shailesh, amWhy, Henrik Aug 11 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Extremal, Eric Wofsey, Shailesh, amWhy, Henrik
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 2




    Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
    – Extremal
    Aug 10 at 23:28










  • This is more a problem about logic translation than about probability.
    – Taroccoesbrocco
    Aug 11 at 5:43













  • 2




    Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
    – Extremal
    Aug 10 at 23:28










  • This is more a problem about logic translation than about probability.
    – Taroccoesbrocco
    Aug 11 at 5:43








2




2




Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
– Extremal
Aug 10 at 23:28




Welcome to MSE! When you post questions here, you must mention something you have tried rather than just posting the question. Otherwise people will downvote to close the post.
– Extremal
Aug 10 at 23:28












This is more a problem about logic translation than about probability.
– Taroccoesbrocco
Aug 11 at 5:43





This is more a problem about logic translation than about probability.
– Taroccoesbrocco
Aug 11 at 5:43











3 Answers
3






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oldest

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up vote
3
down vote













The word neither means




not the one nor the other of two people or things; not either.




So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.






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    up vote
    1
    down vote













    A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.






    share|cite|improve this answer



























      up vote
      0
      down vote













      5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.






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        3 Answers
        3






        active

        oldest

        votes








        3 Answers
        3






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes








        up vote
        3
        down vote













        The word neither means




        not the one nor the other of two people or things; not either.




        So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.






        share|cite|improve this answer
























          up vote
          3
          down vote













          The word neither means




          not the one nor the other of two people or things; not either.




          So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.






          share|cite|improve this answer






















            up vote
            3
            down vote










            up vote
            3
            down vote









            The word neither means




            not the one nor the other of two people or things; not either.




            So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.






            share|cite|improve this answer












            The word neither means




            not the one nor the other of two people or things; not either.




            So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered Aug 10 at 23:41









            Ella

            1189




            1189




















                up vote
                1
                down vote













                A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.






                share|cite|improve this answer
























                  up vote
                  1
                  down vote













                  A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.






                  share|cite|improve this answer






















                    up vote
                    1
                    down vote










                    up vote
                    1
                    down vote









                    A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.






                    share|cite|improve this answer












                    A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.







                    share|cite|improve this answer












                    share|cite|improve this answer



                    share|cite|improve this answer










                    answered Aug 10 at 23:37









                    Cleric

                    3,06632463




                    3,06632463




















                        up vote
                        0
                        down vote













                        5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.






                        share|cite|improve this answer
























                          up vote
                          0
                          down vote













                          5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.






                          share|cite|improve this answer






















                            up vote
                            0
                            down vote










                            up vote
                            0
                            down vote









                            5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.






                            share|cite|improve this answer












                            5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.







                            share|cite|improve this answer












                            share|cite|improve this answer



                            share|cite|improve this answer










                            answered Aug 11 at 0:52









                            herb steinberg

                            1,090210




                            1,090210












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