Chapter 6 Awesomely Entertaining Probability Practice Test

1 ) What is the probability of rolling a combined score greater than 4  with a set of dice (2 cubes)?

2 ) What is the probability of getting at least two or more heads when tossing 3 coins?

3 ) What is the key assumption underlying all probability based predictions?

4 ) The probability of event A is 10% and event B is 20%. The events are disjointed. What is the intersection of the two events?

5 ) The probability of event A is 10% and event B is 20%. The events are disjointed. What is the union of the two events?

6 ) If men wear red shoes 10% of the time while women wear red shoes 20% of the time and there is a 55% probability that the next person walking by will be male, what is the probability that a female will walk by wearing red shoes?
7 ) Refer to the question above. What percent of all people wearing red shoes will be male? .

8 ) If there is a 60 % chance that a person will be right, what is the probability of all the people being wrong in a 5 person group?

9 ) If 35 % of the people in the USA have brown hair, what is the probability of finding a group of 5 people in which exactly one person has brown hair.

10 ) If 10 % of the people in the USA have green eyes and 20 % have blond hair, what is the probability of finding a person with both green eyes and blond hair? (assume green eyes and blond hair are independent)

11 ) If 20 % of the people in the USA have blue eyes and 70 % have brown hair, what is the probability of finding a person with blue eyes or brown hair? (assume blue eyes and brown hair are independent)

12 ) You flip a coin and get heads all 27 times in a row. Assuming that the coin is fair, what is the probability of getting heads a 28th time.

13 )
 Draw a graph of the probability distribution for flipping 4 coins

14 ) The probability of getting an A in English is 20% and the probability of getting an A in math is 40%.  The probability of getting an A in both classes is .04. are the 2 events independent?

15 ) P(A) = 40%, P(B|A) = 20%, P(B) = 30% find P(A or B).

16 ) P(A) = 40%, P(B|A) = 20%, P(B) = 30% find P(A and B).

17 ) P(A) = 40%, P(B) = 30%, for independent events, find P(A or B)

18 ) P(A) = 40%, P(B) = 30%, for independent events, find P(A and B)

19 ) P(A) = 40%, P(B) = 30%, for disjointed events, find P(A or B)

20 ) P(A) = 40%, P(B) = 30%, for disjointed events, find P(A and B)

21 ) How many possible outcomes are possible when rolling a pair of dice?

22 ) What is the probability of getting 7 when rolling a pair of dice?

23 ) Are disjointed events independent?

24 ) 20% of the people read newspaper A, 30% read newspaper B. 10% read both newspapers. What % read no newspapers? Are reading newspaper A and B independent events?

25 ) If an individual has a 60% chance of arriving at the correct verdict, what id the probability that no one on a jury will arrive at the correct verdict?

26 ) Given the tree diagrams at left, determine if P(A) and P(B) are disjointed, independent or conditional for each tree.

A) _____________________________

B) _____________________________

C)  _____________________________

27 ) The sheriff wants to set up random road blocks, stop each car and give each driver a breathalizer test to see if he or she is intoxicated. If a person is drunk, the test is 99% accurate but if a person is sober, the test is 98% accurate. 1% of all drivers are legally drunk. Of the individuals identified by the test as drunk, what % are actually sober? Offer your analysis to the sheriff along with recommendations for how he should proceed. What is the probability of getting an inaccurate test?

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