# CHAPTER 4

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1. 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.
Not a simple event because it is an event that consists of more than a single outcome.
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 one card from a standard deck. Event B is selecting the ace of hearts.
Simple event because it is an event that consists of a single outcome.
3. From the information provided, create the sample space of
possible outcomes. Flip a coin twice.
HH HT TH TT
4. Which of the following cannot be a probability
• Any number below 0 and above 1
• -1
• -68
5. Estimate the probability of the event.
A polling firm, hired to estimate the likelihood of the passage of an up-coming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is: 0 = FOR, 1 = AGAINST. If the referendum were
held today, estimate the probability
that it would pass.
0,1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0
• 0.60 or 60%
• Total all 0 =12
• Total all numbers =20
• Divide 12 by 20 =0.60
6. A single six-sided die is rolled. Find the probability of rolling a seven.
0
7. If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a red card?
26 out of 52 or 1/2
8. If 5 newborn babies are randomly selected, how many different gender sequences are possible?
2*2*2*2*2 (five sequences of 2 babies) =32
9. Answer the question, considering an event to be unusual
if its probability is less than or equal to 0.05. Is it unusual to get a 12 when a pair of dice is rolled?
Yes, because 1 combination / 36 possibilities = 0.03
10. Answer the question, considering an event to be unusual
if its probability is less than or equal to 0.05. Is it unusual to get 7 when a pair of dice is rolled?
No, 6 combinations / 36 possibilies = 0.17
11. Express the indicated degree of likelihood as a probability value. You have a 50-50 chance of choosing the correct answer.
100/2 =0.50
12. Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.
6 : 1
13. 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
14. 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
15. 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
16. Find the indicated probability. A spinner has equal regions numbered 1 through 15. What is the probability that
the spinner will stop on an even number or a multiple of 3?
• 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
• even numbers: 2,4,6,8,10,12,17 =7
• multiples of 3: 3,6,9,12,15=5
• 7+5=12 minus overlap of 6,12=10
• 10/15 or 2/3
17. A 6-sided die is rolled. Find P(3 or 5).
2/6 or 1/3
18. Determine whether the events are disjoint.
Draw one ball colored red from a bag.
Draw one ball colored blue from the same bag.
Yes
19. Meet a man with an umbrella.
Meet a man with a raincoat.
No
20. Find the indicated complement.
If P(A) = 15/17, find P(Ā).
1-15/17 =2/17
21. Is Event B dependent or independent of Event A?
A:A mosquito lands on your arm.
B:You get a mosquito bite.
Dependent
22. Find the indicated probability.
In one town, 20% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
• Voter 1 = 0.20
• Voter 2 = 0.20
• 0.20*0.20=0.040
23. Find the indicated probability.
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction.
• Card one =26/52
• Card two =26-1 and 52-1
• 26/52*25/51=25/102
24. Find the indicated probability. Round to the nearest thousandth.
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
• (1/2)^10
• calculator use 1-2nd (-) enter
25. Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
The table below shows the soft drinks preferences of people in three age groups.
cola root beer lemon-lime
under 21 years of age 40 25 20
between 21 and 40 35 20 30
over 40 years of age 20 30 35
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age.
• 20+30+35 =85
• total people =255
• 85/255 = 1/3
26. Evaluate the expression.
8!
• use calculator 8, math, prb,4, enter
• 40320
27. Solve the problem.
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?
• 7P3 use calculator 7, math, prb, 2, 3, enter
• 210
28. Solve the problem.
There are 13 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?
• 13C5 use calculator 13, math, prb, 3, 5, enter
• 1287

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 Author: innavasser ID: 136462 Filename: CHAPTER 4 Updated: 2012-02-20 16:22:00 Tags: CHAPTER Folders: Description: CHAPTER 4 Show Answers:

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