Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that: She rolls a three. She rolls an odd number. She rolls a six or odd number.

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Chapter1: Combinatorial Analysis
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Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that:

She rolls a three.

She rolls an odd number.

She rolls a six or odd number.

 

  Republican Democrat Independent Total
Indiana 905 668 201 1774
Ohio 843 1094 121 2058
Illinois 678 1801 121 2600
Total 2426 3563 443 6432

What is the probability of being a democrat or republican?

What is the probability of being a republican from Indiana?

What is the probability of being a republican or from Illinois?

 

Health Tech Gen Total
Male 176 686 724  
Female 214 899 904  
Total        

This chart will be used for the next few questions. Fill in the total above in the indicated areas.

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

What is the probability that a student chosen at random is female?

 

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

What is the probability that a student chosen at random is majoring in Tech and is Male?

 

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

What is the probability that a student chosen at random is majoring in Tech or is Female?

 

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

If a student chosen at random is majoring in Gen, what is the probability that they are Male?

 

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

If a student chosen at random is majoring in Tech, what is the probability that they are Male?

 

Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.

What is the probability that Heath major graduated given they were a Female?

 

Consider the following distribution of data from a college survey.

 

Android Users

iPhone Users

Total

Ages 18 – 30

405

653

1058

Ages 31 – 40

687

538

1225

Ages 41 – 50

1068

391

1459

Total

2160

1582

3742

(Write all answers as a percentage without the % symbol to 1 decimal.)

What is the probability that someone chosen at random was aged 41 - 50?

What is the probability that someone chosen at random was an Android user or aged 41 - 50?

What is the probability of someone being aged 41 - 50 and an Android user?

Given a random person was aged 18 - 30, what is the probability that they were an iPhone user?

 

If living in Ohio, the number of independent voters makes up about 6% of all voters in that state. Is it fair to say that Illinois also has 6% of its population voting as independent since it has the same number of independent voters? Explain why or why this is not true. 

 

 

 

 

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