Course: Math 7B (2018) Unit: 1. PROBABILITY AND GRAPHING Assignment: 2. Theoretical Probability

10

A jar contains 100 coins. If it is very unlikely that you will randomly choose a quarter out of the jar, how many quarters could be in the jar? 50 35 85 10

equally as likely as unlikely

At a school, there are 526 students and 263 are girls. About how likely is it that a randomly chosen student will be a boy? unlikely somewhat likely very likely equally as likely as unlikely

75%

Chris has 2 pairs of black socks, 4 pairs of red socks, and 18 pairs of white socks in a dresser drawer. If he reaches in his drawer without looking, what is the probability that he will choose a pair of white socks? 75% 33.3% 25% 50%

Since there is a total of 100% and he makes the free throw about .87 or (100*.87) 87 out of 100, 87 is divided into 100 times to get the percentage of the chance of him making a free throw. So 87/100 = .87

During the 2012-2013 NBA season, Jamal Crawford playing for the Los Angeles Clippers, had a free throw percentage of 0.871. Using complete sentences, describe the likelihood that he would make the free throw each time he stepped up to the line that season. Explain your reasoning.

a. 3 b. 0 c. 2 d. 0 e. 3 f. 0 g. 0/8 h. 1/4

Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college. Enter all fractions in reduced form. Use the picture to complete the following. a. How many women are wearing Long Sleeves? b. How many men are wearing Long Sleeves? c. How many women are short Sleeves? d. How many men are wearing short Sleeves? e. How many women are wearing rolled up Sleeves? f. How many men are wearing rolled up Sleeves? g. What is the probability that the student selected will be a female with long sleeves? h. What is the probability that the student selected will be a male with rolled-up sleeves?

a. 2/5 b. 1/3

Each student in a classroom has chosen either a green, red, or blue marble and written their initials on it. In addition, some of the marbles have the letter A written on them, and some of the marbles have the letter B written on them. All of the marbles are shown below. All of the marbles are placed in a bag, and then one is randomly selected. A. The probability that the selected marble will have a B written on it is _______ . B. The probability that the selected marble will be green is _____ points.

1/5

In a raffle, Scott buys 10 tickets and his friend Tom buys 6 tickets. If there are 80 tickets sold, what is the probability that Scott or Tom will win? 1/8 1/5 9/40 4/5

It is unlikely that it will not rain the next day. It is likely that it will rain the next day.

On the evening news, the meteorologist states that there is a 70% chance that it will rain the next morning. Select all the statements that are true. It is neither unlikely nor likely that it will rain the next day. It is certain that it will rain the next day. It is likely that it will not rain the next day. It is unlikely that it will rain the next day. It is unlikely that it will not rain the next day. It is likely that it will rain the next day.

rolling a fair number cube randomly pulling a marble out of a bag randomly selecting a student's name from a hat

Select all of the following models which represent a uniform probability model. flipping a balanced coin rolling a fair number cube flipping a weighted coin using a spinner with unequally sized spaces randomly pulling a marble out of a bag randomly selecting a student's name from a hat

2/5 40% 0.4

Select all that apply. If there are 8 chocolate chip cookies out of 20 total cookies in a jar, what is the probability that you will randomly choose a chocolate chip cookie? 2/5 40% 0.8 0.4

The probability that you won't win is 11/20. The probability that you won't win is 0.55. The probability that you will win is 9/20 .

Select all that apply. In a carnival game, there is a 45% probability of winning a prize. Which of the following is true? The probability that you won't win is 11/20. The probability that you will win is 4.5. The probability that you won't win is 0.55. The probability that you will win is 9/20 .

52%

There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probability it will be a girl? 48% 50% 52% 92%

24%

There are 6 red marbles, 4 blue marbles, and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probability that you will choose a red marble? 66.7% 40% 30% 24%

100%

What is the probability of rolling a 2 or not rolling a 2 using a regular 6-sided number cube? 1/6 33.3% 5/6 100%

4. The probability of picking a red shirt out of a pile of clothes without looking.

Which of the following probabilities can be determined using a uniform probability model? 1. The probability of going to school tomorrow. 2. The probability of a car wreck happening at any given time. 3. The probability of sneezing 10 times today. 4. The probability of picking a red shirt out of a pile of clothes without looking.

uniform probability model

a probability model in which each of the outcomes in the sample space are equally likely, or have the same probability

theoretical probability

a ratio representing the likelihood of an event

event

a specific outcome or group of outcomes

experiment

any activity that has two or more outcomes

outcome

any possible result of an experiment

probability model

assigns a probability to all possible non-overlapping outcomes in a sample space; the sum of the probabilities in a probability model is 1

disjoint events

events that have no outcomes in common

favorable outcome

outcome for a specific event

probability

the measure of the likelihood of an event

sample space

the set of all possible outcomes for an experiment

complementary events

two disjoint events of which one or the other must occur