14 Oct Classical probability
Question 1 2 pts
The probability of drawing one card and getting queen is 4/52. This would be considered:
Classical probability
Empirical probability
Subjective probability
Manufactured probability
Question 2 2 pts
Given the following information, find the probability that a randomly selected student will be short or very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21
21.0%
21.6%
49.5%
10.1%
Question 3 2 pts
Given the following information, find the probability that a randomly selected dog will be a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38
58.0%
42.0%
39.5%
21.1%
Question 4 2 pts
Given that there is a 22% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?
17.2%
1.1%
78.0%
13.4%
Question 5 2 pts
Consider the following table. What is the probability of no?
Red Blue Total
Yes 15 21 36
No 38 13 51
Total 53 34 87
51/87
13/51
51/34
13/34
Question 6 2 pts
Consider the following table. What is probability of no, given blue?
Red Blue Green Total
Yes 33 44 14 91
No 18 5 28 51
Total 51 49 42 142
5/49
44/49
51/142
49/142
Question 7 2 pts
A card is randomly selected from a standard deck of 52 cards. What is P(heart)?
26.52
1/52
13/52
4/52
Question 8 2 pts
In a sample of 500 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
65.00%
12.25%
35.00%
12.19%
Question 9 2 pts
In a sample of 528 customers, 237 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?
14.96%
12.83%
9.04%
8.98%
Question 10 2 pts
A salesperson purchases the deli’s specialty sandwich one day, and a mechanic purchases the deli’s specialty sandwich the next day. How would you classify these events?
Independent
Dependent
Question 11 2 pts
A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with an even number, or a number less than 5?
64.3%
78.6%
14.0%
35.7%
Question 12 2 pts
Of the shirts produced by a company, 8% have loose threads, 7.5% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
12.0%
19.0%
15.5%
11.0%
Question 13 2 pts
Randomly select a customer that is happy with the store. Randomly select a customer who infrequently shops at the store. Are these events mutually exclusive?
Mutually exclusive events
Non-mutually exclusive events
Question 14 2 pts
In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.
2.70%
2.74%
2.73%
2.77%
Question 15 2 pts
In a sample of 80 adults, 15 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.
17.27%
53.16%
53.64%
15.88%
Question 16 2 pts
A sock drawer has 17 folded pairs of socks, with 7 pairs of white, 6 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer that you will first select and remove a black pair, then select either a blue or a white pair?
24.26%
35.25%
64.71%
22.84%
Question 17 2 pts
An investment advisor believes that there is a 28% chance of making money by investing in a specific stock. If the stock makes money, then there is a 43% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
12%
28%
15%
43%
Question 18 2 pts
An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.
10%
50%
60%
30%
Question 19 2 pts
A smartphone company found in a survey that 14% of people did not own a smartphone, 31% owned a smartphone only, 17% owned a smartphone and only a tablet, 25% owned a smartphone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer?
31%
56%
25%
48%
Question 20 2 pts
Match the terms and their definitions
0 and 1
[ Choose ] Conditional probability Mutually exclusive events Independent events Complement of an event Probability is between
1 – P(E)
[ Choose ] Conditional probability Mutually exclusive events Independent events Complement of an event Probability is between
The occurrence of one event does not affect the occurrence of the other
[ Choose ] Conditional probability Mutually exclusive events Independent events Complement of an event Probability is between
Cannot occur at the same time
[ Choose ] Conditional probability Mutually exclusive events Independent events Complement of an event Probability is between
Probability of an event given that another event has occurred
[ Choose ] Conditional probability Mutually exclusive events Independent events Complement of an event Probability is between
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