Probability with one percentage











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If 40% of people have watched TV today, what is the probability that the three people you pick haven't watched TV today? The people are randomly selected and not replaced. I've just been stumped on this problem even though I know I've done something similar.










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  • What are your thoughts on it?
    – WaveX
    Nov 18 at 23:17










  • How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
    – Matt Samuel
    Nov 18 at 23:19










  • We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
    – BruceET
    Nov 18 at 23:20










  • The people are randomly selected and they are not replaced
    – Chloe Hardin
    Nov 18 at 23:20










  • If $40%$ of people watch TV, then what percentage of people didn't?
    – WaveX
    Nov 18 at 23:26

















up vote
-2
down vote

favorite












If 40% of people have watched TV today, what is the probability that the three people you pick haven't watched TV today? The people are randomly selected and not replaced. I've just been stumped on this problem even though I know I've done something similar.










share|cite|improve this question
























  • What are your thoughts on it?
    – WaveX
    Nov 18 at 23:17










  • How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
    – Matt Samuel
    Nov 18 at 23:19










  • We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
    – BruceET
    Nov 18 at 23:20










  • The people are randomly selected and they are not replaced
    – Chloe Hardin
    Nov 18 at 23:20










  • If $40%$ of people watch TV, then what percentage of people didn't?
    – WaveX
    Nov 18 at 23:26















up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











If 40% of people have watched TV today, what is the probability that the three people you pick haven't watched TV today? The people are randomly selected and not replaced. I've just been stumped on this problem even though I know I've done something similar.










share|cite|improve this question















If 40% of people have watched TV today, what is the probability that the three people you pick haven't watched TV today? The people are randomly selected and not replaced. I've just been stumped on this problem even though I know I've done something similar.







statistics






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edited Nov 18 at 23:23

























asked Nov 18 at 23:13









Chloe Hardin

62




62












  • What are your thoughts on it?
    – WaveX
    Nov 18 at 23:17










  • How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
    – Matt Samuel
    Nov 18 at 23:19










  • We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
    – BruceET
    Nov 18 at 23:20










  • The people are randomly selected and they are not replaced
    – Chloe Hardin
    Nov 18 at 23:20










  • If $40%$ of people watch TV, then what percentage of people didn't?
    – WaveX
    Nov 18 at 23:26




















  • What are your thoughts on it?
    – WaveX
    Nov 18 at 23:17










  • How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
    – Matt Samuel
    Nov 18 at 23:19










  • We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
    – BruceET
    Nov 18 at 23:20










  • The people are randomly selected and they are not replaced
    – Chloe Hardin
    Nov 18 at 23:20










  • If $40%$ of people watch TV, then what percentage of people didn't?
    – WaveX
    Nov 18 at 23:26


















What are your thoughts on it?
– WaveX
Nov 18 at 23:17




What are your thoughts on it?
– WaveX
Nov 18 at 23:17












How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
– Matt Samuel
Nov 18 at 23:19




How are you picking the people? Even assuming equal probability in picking, you could pick with replacement or without.
– Matt Samuel
Nov 18 at 23:19












We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
– BruceET
Nov 18 at 23:20




We hope to see what you have tried and to know why you are not able to answer on your own. Please edit your Question to include your thoughts so far. // If you know about the binomial distribution, then let $X sim mathsf{Binom}(3, .6).$ You seek $P(X=3).$
– BruceET
Nov 18 at 23:20












The people are randomly selected and they are not replaced
– Chloe Hardin
Nov 18 at 23:20




The people are randomly selected and they are not replaced
– Chloe Hardin
Nov 18 at 23:20












If $40%$ of people watch TV, then what percentage of people didn't?
– WaveX
Nov 18 at 23:26






If $40%$ of people watch TV, then what percentage of people didn't?
– WaveX
Nov 18 at 23:26












2 Answers
2






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up vote
0
down vote



accepted










P(TV) = 0.4



P(Not TV) = 0.6



0.6 * 0.6 * 0.6 = 0.216 OR 21.6%



This is assuming that it is a complementary scenario.






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    up vote
    0
    down vote













    Let A= watching tv. B= not watching tv.



    $\P(B_{1} cap B_{2}cap B_{3})$ are all independent events. So you can use the multiplication rule.



    $\P(B_{1} cap B_{2}cap B_{3}) = (P(B))^{3}=(0.6)^3$ It is important to know why you can do that.






    share|cite|improve this answer





















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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

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      active

      oldest

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      active

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      up vote
      0
      down vote



      accepted










      P(TV) = 0.4



      P(Not TV) = 0.6



      0.6 * 0.6 * 0.6 = 0.216 OR 21.6%



      This is assuming that it is a complementary scenario.






      share|cite|improve this answer

























        up vote
        0
        down vote



        accepted










        P(TV) = 0.4



        P(Not TV) = 0.6



        0.6 * 0.6 * 0.6 = 0.216 OR 21.6%



        This is assuming that it is a complementary scenario.






        share|cite|improve this answer























          up vote
          0
          down vote



          accepted







          up vote
          0
          down vote



          accepted






          P(TV) = 0.4



          P(Not TV) = 0.6



          0.6 * 0.6 * 0.6 = 0.216 OR 21.6%



          This is assuming that it is a complementary scenario.






          share|cite|improve this answer












          P(TV) = 0.4



          P(Not TV) = 0.6



          0.6 * 0.6 * 0.6 = 0.216 OR 21.6%



          This is assuming that it is a complementary scenario.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 18 at 23:29









          THIS_GAMES_DOODOO

          212




          212






















              up vote
              0
              down vote













              Let A= watching tv. B= not watching tv.



              $\P(B_{1} cap B_{2}cap B_{3})$ are all independent events. So you can use the multiplication rule.



              $\P(B_{1} cap B_{2}cap B_{3}) = (P(B))^{3}=(0.6)^3$ It is important to know why you can do that.






              share|cite|improve this answer

























                up vote
                0
                down vote













                Let A= watching tv. B= not watching tv.



                $\P(B_{1} cap B_{2}cap B_{3})$ are all independent events. So you can use the multiplication rule.



                $\P(B_{1} cap B_{2}cap B_{3}) = (P(B))^{3}=(0.6)^3$ It is important to know why you can do that.






                share|cite|improve this answer























                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  Let A= watching tv. B= not watching tv.



                  $\P(B_{1} cap B_{2}cap B_{3})$ are all independent events. So you can use the multiplication rule.



                  $\P(B_{1} cap B_{2}cap B_{3}) = (P(B))^{3}=(0.6)^3$ It is important to know why you can do that.






                  share|cite|improve this answer












                  Let A= watching tv. B= not watching tv.



                  $\P(B_{1} cap B_{2}cap B_{3})$ are all independent events. So you can use the multiplication rule.



                  $\P(B_{1} cap B_{2}cap B_{3}) = (P(B))^{3}=(0.6)^3$ It is important to know why you can do that.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Nov 19 at 0:20









                  pfmr1995

                  113




                  113






























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