3.1 Probability
Which of the following cannot be a probability?
-52
A single six-sided die is rolled. Find the probability of rolling a seven.
0
The distribution of Master's degrees conferred by a university is listed in the table. What is the probability that a randomly selected student graduating with a Master's degree has a major of Engineering? Round your answer to three decimal places.
0.099
The distribution of Master's degrees conferred by a university is listed in the table. What is the probability that a randomly selected student graduating with a Master's degree has a major of Education? Round your answer to three decimal places.
0.298
A single six-sided die is rolled. Find the probability of rolling a number less than 3.
0.333
At the local racetrack, the favorite in a race has odds 3:2 of losing. What is the probability that the favorite wins the race?
0.4
A coin is tossed. Find the probability that the result is heads.
0.5
At the local racetrack, the favorite in a race has odds 3:2 of winning. What is the probability that the favorite wins the race?
0.6
A stem-and-leaf plot for the number of homeruns hit by 30 High School teams is shown. Find the probability that a team chosen at random hit at least 45 homeruns.
0.867
The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of not selecting a person with blood type B+.
0.90
If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing an ace?
1/13
If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a red card?
1/2
If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a heart?
1/4
A question has five multiple-choice questions. Find the probability of guessing the correct answer.
1/5
Rank the probabilities of 10%, 1/5, and 0.06 from the most likely to occur to the least likely to occur.
1/5,10%,0.06
A study of 1000 randomly selected flights of a major airline showed that 856 of the flights arrived on time. What is the probability of a flight arriving on time?
107/125
In a survey of college students, 840 said that they have cheated on an exam and 1795 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam.
168/527
How many license plates can be made consisting of 3 letters followed by 3 digits?
17,576,000
Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning: You randomly select one card from a standard deck. Event B is selecting the ace of hearts.
1; Simple event because it is an event that consists of a single outcome.
How many different codes of 4 digits are possible if the first digit must be 3, 4, or 5 and if the code may not end in 0?
2,700
If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years.
31/365
If 5 newborn babies are randomly selected, how many different gender sequences are possible?
32
A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 14 notes in her vocal range. How many different sequences of 4 notes are possible?
38,416
A card is picked at random from a standard deck of 52 playing cards. Find the odds that it is not a heart.
3:1
The P(A) = 3/5 Find the odds of winning an A.
3:2
Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning: You randomly select a computer from a batch of 50 which contains 3 defective computers. Event B is selecting a defective computer
3; Not a simple event because it is an event that consists of more than a single outcome
Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning: You roll a six-sided die. Event B is rolling an even number.
3; Not a simple event because it is an event that consists of more than a single outcome
Which of the following cannot be a probability?
4/3
A question has five multiple-choice answers. Find the probability of guessing an incorrect answer.
4/5
Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning: A computer is used to randomly select a number between 1 and 1000. Event A is selecting a number greater than 600
400; Not a simple event because it is an event that consists of more than a single outcome.
A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different shirts are available from this company?
56
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that interest rates will rise during the summer is 0.05.
subjective probability
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that it will rain tomorrow is 91%.
subjective probability
A sports team has a three game road trip. Use the tree diagram to answer the question. List the outcome(s) of the event "They win exactly two games."
{WWL, WLW, LWW}
A sports team has a three game road trip. Use the tree diagram to answer the question. List the outcome(s) of the event "They lose at least one game."
{WWL, WLW, WLL, LWW, LWL, LLW, LLL}
Classify the statement as an example of classical probability, empirical probability, or subjective probability. In California's Pick Three lottery, a person selects a 3-digit number. The probability of winning California's Pick Three lottery is 1/1000
classical probability
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a newborn baby is a boy is 1/2
classical probability
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a train will be in an accident on a specific route is 1%.
empirical probability
