Probability Practice

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School

San Francisco State University *

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130

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Statistics

Date

Jan 9, 2024

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ppt

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16

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Probability Practice
The Flyers and Rangers play a best of 3 game series. Whoever wins 2 games wins the series. Make a tree diagram and determine the probability that the Flyers win. (each team has an equal chance of winning – leave your answer as a decimal.) .5 0.0
The Flyers and Rangers play a best of 3 game series. Whoever wins 2 games wins the series. Make a tree diagram and determine the probability that the series goes to 3 games and the Rangers win (each team has an equal chance of winning – leave your answer as a decimal.) .25 0.0
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The Flyers and Rangers play a best of 3 game series. Whoever wins 2 games wins the series. Make a tree diagram and determine the probability that the winning team wins the first game. (each team has an equal chance of winning – leave your answer as a decimal.) .375 0.0
It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of the people with Lyme disease, the test to determine if you have it will give a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time. Make a tree diagram for this problem and then determine the probability that the person get a positive reading. .116 0.0
It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of the people with Lyme disease, the test to determine if you have it will give a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time. Make a tree diagram for this problem and then determine the probability that the person has Lyme’s disease, but has a negative reading on the test. .0012 0.0
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It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of the people with Lyme disease, the test to determine if you have it will give a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time. Make a tree diagram for this problem and then determine the probability that the person does not have Lyme’s disease, but has a positive reading on the test. .077 0.0
A sports locker at school contains 6 basketballs, 9 footballs, and 5 volleyballs. During a sports lesson, a teacher chooses two balls from the locker at random, without replacement. Draw a tree diagram and find the probability that the teacher chooses two basketballs. (give your answer as a fraction) 3/38 0.0
A sports locker at school contains 6 basketballs, 9 footballs, and 5 volleyballs. During a sports liesson, a teacher chooses two balls from the locker at random, witout replacement. Draw a tree diagram and find the probability that the teacher chooses one basketball and one football. (give your answer as a fraction) 27/95 0.0
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A sports locker at school contains 6 basketballs, 9 footballs, and 5 volleyballs. During a sports liesson, a teacher chooses two balls from the locker at random, with replacement. Draw a tree diagram and find the probability that the teacher chooses two of the same type of ball. (give your answer as a fraction) 61/190 0.0
A writer has a bad habit of holding onto pens that stop working. He has 3 pens in his briefcase. The firs pen he tries has an 80% chance of working. The second pen has a 60% chance of working and the 3 rd pen has a 40% chance of working. If a pen stops working, he’ll try another pen. Draw a tree diagram that illustrates this problem and determine the probability that at least one pen works. .952 0.0
A writer has a bad habit of holding onto pens that stop working. He has 3 pens in his briefcase. The firs pen he tries has an 80% chance of working. The second pen has a 60% chance of working and the 3 rd pen has a 40% chance of working. If a pen stops working, he’ll try another pen. Draw a tree diagram that illustrates this problem and determine the probability that he will have to choose 3 pens. .032 0.0
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80 students were asked what type of television programme they had watched the previous evening. 35 watched sports, 42 watched news, 50 watched drama, 10 watched all three types. 7 watched sports and news only, 12 watched news and drama only, 14 watched sports and drama only. Draw a Venn Diagram and determine the number of students who did not watch neither sports, nor drama, nor News. 6 0.0
80 students were asked what type of television programme they had watched the previous evening. 35 watched sports, 42 watched news, 50 watched drama, 10 watched all three types. 7 watched sports and news only, 12 watched news and drama only, 14 watched sports and drama only. Draw a Venn Diagram and determine the probability that a student watched drama only. (Give your answer as a fraction) 7/40 0.0
80 students were asked what type of television programme they had watched the previous evening. 35 watched sports, 42 watched news, 50 watched drama, 10 watched all three types. 7 watched sports and news only, 12 watched news and drama only, 14 watched sports and drama only. Draw a Venn Diagram and determine the probability that a student watched sports given that the student also watched news. 17/42 0.0
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80 students were asked what type of television programme they had watched the previous evening. 35 watched sports, 42 watched news, 50 watched drama, 10 watched all three types. 7 watched sports and news only, 12 watched news and drama only, 14 watched sports and drama only. Draw a Venn Diagram and determine the probability that a student watched at least 2 types of programmes. 43/80 0.0

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