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Permutations and Combinations – 2

< 1 > You coach a basketball ball team of 12 players;

 

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         5 players must be on the floor at all times;

         Figuring that every player can play every position –

         < a > How many teams can you ‘put on the floor??

         Now consider that you have 2 centers, 5 guards, and 5 forwards;

         You must place on the floor at all times

              1 center; 2 guards; 2 forwards

          < b > How many teams can you ‘put on the floor’ ??

         >>  Make sure to show all logic and work.

 

< 2 > Then – create a similar problem and solve it.

        >> Make sure to show all logic and work.

2Probability-3

< 1 >  You travel the same route through your town each day;
             You have found that the probability of waiting for a train
             when you cross the railroad tracks in town is 0.10;
            (you wait for a train one out of ten times you drive through town)
             what is the probability that you will not wait for a train
                  on your next 5 trips through town??
           what is the probability that you will wait one or more times
                  on your next 5 trips through town??
         Make sure to show all logic and work with your solutions.

 

< 2 >  then create and solve a similar problem of your choosing;

           Make sure to show all logic and work

3Fundamental Counting Principle – 2

< 1 >  A church has 9 bells in its bell tower.  

           Before each church service, 5 bells are rung in sequence.

           No bell is run more than once.

           How many sequences are there ??

          >>  Make sure to show and describe all logic;  show work.

 
< 2 > Then – create a similar problem and solve it.
        >> Make sure to show all logic and work.

4Probability

The table below describes the smoking habits of a group of asthma sufferers.

 

Nonsmoker  

Light Smoker

Regular Smoker

Heavy Smoker

Total

Men

363

33

89

46

531

Women

443

40

66

44

593

Total

806

73

155

90

1124

 

< 1 > If one of the 1124 is randomly selected,

  < a > find the probability that the person is a man; 

   < b > find the probability that the person is a heavy smoker;

  < c > find the probability that the person is a man or a heavy smoker.

 

 Make sure to show all logic and work.

 

< 2 > Then .. create and solve a problem of your own from the table;

           … make sure to show all logic and work.

5Probability – 2

< 1 > You are planning a trip in an old 2-engine plane.

Probability of either engine failing is 0.10.

>>  what is the probability of both engines failing ??

>>  what is the probability of either engine (only one engine) failing ??

>>   what is the probability of neither engine failing ??

>>  Make sure show all logic and work.

 

< 2 > Then – create a similar problem and solution of your own from similar data.

>>  Make sure show all logic and work.

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