12 A fair coin is flipped three times, resulting in the following 2-8 equally likely possibilities: HHH HTH THH TTH HHT HTT THT TTT Find the probability that, in three flips: (a) (b) (c) the number of heads is equal to the number of tails exactly two heads occur at least two heads occur UNITED LIBERTY

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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Please help with question 12 and 13 if possible with explanations :)

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10
Once again, consider the data set consisting of the number of credits taken by the 128 State University students living in a particular
dormitory. Suppose that one such student will be selected at random.
12
13
Find the probability that the selected student is taking:
(a)
exactly 14 credits
(b) less than 13 credits
(c) at least 15 credits
(d)
14
between 16 and 18 credits, inclusive
Suppose that one such pitcher is selected at random. Find the probability that he:
(a) earned between $6,000,000 and $7,990,000.
11
The following frequency distribution summarizes the 2015 salaries, in millions of dollars, of all 437 pitchers in Major League Baseball.
(b)
(c)
(d) earned between $8,000,000 and $13,990,000
earned less than $4,000,000.
earned at least $4,000,000.
A fair coin is flipped three times, resulting in the following 23-8 equally likely possibilities:
HHH HTH THH TTH
HHT HTT THT
TTT
Find the probability that, in three flips:
(a) exactly two heads occur
(b) at least two heads occur
(c) the number of heads is equal to the number of tails
(d) the last flip is tails
(c) is either a king or a queen
(d) is not diamonds
2-to-1 odds of winning
3-to-1 odds of winning
5-to-1 odds of winning
7-to-1 odds of winning
11-to-1 odds of winning
23-to-1 odds of winning
For each team, find the probability of winning the championship.
Credits
10
Blazers
Whalers
Racers
Cougars
Jets
Toros
A playing card is randomly selected from a full deck of 52. Find the probability that the selected card:
(a) is an ace
(b) is clubs
11
12
EDAS
What are the odds of getting at least one pair?
What are the odds of getting a flush?
13
14
15
16
17
18
19
20
ΤΟΤΑΙ
(Converting odds to probabilities)
Suppose that in a six-team hockey league, the preseason odds of winning the championship are given:
Salary
Less than 2M
2M-3.99M
4M-5.99M
6M-7.99M
SM-9.99M
10M-11.99M
12M-13.99M
14M or greater
TOTAL
Frequency
0
18
9
22
15
25
10
21
5
2
128
Racers
children no children
6
Frequency
241
61
ARTER
ES
39
20
23
23
15
18
20
437
OF AMERICA
BOLLAR
BEARDWAR
BICYCLE
MOTO
PLAYING CARDS
WORLD
HOCKEY
15
(Converting probabilities to odds)
When dealing a 5-card poker hand at random from a 52-card deck, the probability of getting at least one pair is .493 and the probability of
getting a flush (i.e. all cards are the same suit) is .0018.
WHA
USOCIATION
Transcribed Image Text:10 Once again, consider the data set consisting of the number of credits taken by the 128 State University students living in a particular dormitory. Suppose that one such student will be selected at random. 12 13 Find the probability that the selected student is taking: (a) exactly 14 credits (b) less than 13 credits (c) at least 15 credits (d) 14 between 16 and 18 credits, inclusive Suppose that one such pitcher is selected at random. Find the probability that he: (a) earned between $6,000,000 and $7,990,000. 11 The following frequency distribution summarizes the 2015 salaries, in millions of dollars, of all 437 pitchers in Major League Baseball. (b) (c) (d) earned between $8,000,000 and $13,990,000 earned less than $4,000,000. earned at least $4,000,000. A fair coin is flipped three times, resulting in the following 23-8 equally likely possibilities: HHH HTH THH TTH HHT HTT THT TTT Find the probability that, in three flips: (a) exactly two heads occur (b) at least two heads occur (c) the number of heads is equal to the number of tails (d) the last flip is tails (c) is either a king or a queen (d) is not diamonds 2-to-1 odds of winning 3-to-1 odds of winning 5-to-1 odds of winning 7-to-1 odds of winning 11-to-1 odds of winning 23-to-1 odds of winning For each team, find the probability of winning the championship. Credits 10 Blazers Whalers Racers Cougars Jets Toros A playing card is randomly selected from a full deck of 52. Find the probability that the selected card: (a) is an ace (b) is clubs 11 12 EDAS What are the odds of getting at least one pair? What are the odds of getting a flush? 13 14 15 16 17 18 19 20 ΤΟΤΑΙ (Converting odds to probabilities) Suppose that in a six-team hockey league, the preseason odds of winning the championship are given: Salary Less than 2M 2M-3.99M 4M-5.99M 6M-7.99M SM-9.99M 10M-11.99M 12M-13.99M 14M or greater TOTAL Frequency 0 18 9 22 15 25 10 21 5 2 128 Racers children no children 6 Frequency 241 61 ARTER ES 39 20 23 23 15 18 20 437 OF AMERICA BOLLAR BEARDWAR BICYCLE MOTO PLAYING CARDS WORLD HOCKEY 15 (Converting probabilities to odds) When dealing a 5-card poker hand at random from a 52-card deck, the probability of getting at least one pair is .493 and the probability of getting a flush (i.e. all cards are the same suit) is .0018. WHA USOCIATION
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