math whiz 50.00
1 Permutations and Combinations - 2
< 1 > You coach a basketball ball team of 12 players;
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) <a> what is the probability that you will not wait for a train on your next 5 trips through town?? <b> 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.
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.