Determine whether the events are disjoint. 1) Find the indicated

More Probability
Determine whether the events are disjoint.
1) Draw one ball colored red from a bag.
Draw one ball colored blue from the same bag.
1)
Find the indicated probability.
2) What is the probability that 4 randomly selected people all have different birthdays?
Round to four decimal places.
2)
3) A sample of 4 different calculators is randomly selected from a group containing 47 that
are defective and 29 that have no defects. What is the probability that all four of the
calculators selected are defective? Round to four decimal places.
3)
4) When a pair of dice are rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a
pair of dice are rolled 3 times, what is the probability of getting a sum of 7 every time?
Round to eight decimal places.
4)
5) Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that
answered "no" to the question, 8 were male. If one person is selected at random from the
group, what is the probability that the person answered "yes" or was male?
5)
6) Among the contestants in a competition are 46 women and 23 men. If 5 winners are
randomly selected, what is the probability that they are all men? Round to five decimal
places.
6)
7) A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two
good coils when two coils are randomly selected if the first selection is replaced before the
second is made.
7)
Is Event B dependent or independent of Event A?
8) A: A green ball is drawn from a box with five balls and placed next to the box.
B: A red ball is drawn next and placed next to the green one.
8)
Find the indicated complement.
9) If a person is randomly selected, find the probability that his or her birthday is not in May.
Ignore leap years.
9)
10) If P(A) =
14
, find P(A).
15
10)
11) Based on meteorological records, the probability that it will snow in a certain town on
January 1st is 0.428. Find the probability that in a given year it will not snow on January
1st in that town.
11)
12) Find P(A), given that P(A) = 0.493.
12)
1
Answer the question.
13) In a certain town, 10% of people commute to work by bicycle. If a person is selected
randomly from the town, what are the odds against selecting someone who commutes by
bicycle?
13)
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05.
14) If you are told that a mystery person's name begins with a consonant, would it be
14)
"unusual" to guess the first letter of that person's name?
Provide a written description of the complement of the given event.
15) Of the thirteen different women Calvin asks for a date, at least one of them accepts.
16) When several textbooks are edited, none of them are found to be free of errors.
15)
16)
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
17) The table below shows the soft drinks preferences of people in three age groups.
17)
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.
18) 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
18)
If one of the 255 subjects is randomly selected, find the probability that the person is over
40 years of age given that they drink root beer.
19) The following table contains data from a study of two airlines which fly to Small Town,
USA.
19)
Number of flights Number of flights
which were on time
which were late
Podunk Airlines
33
6
Upstate Airlines
43
5
If one of the 87 flights is randomly selected, find the probability that the flight selected
arrived on time.
Solve the problem.
20) The organizer of a television show must select 5 people to participate in the show. The
participants will be selected from a list of 30 people who have written in to the show. If the
participants are selected randomly, what is the probability that the 5 youngest people will
be selected?
2
20)
21) A state lottery involves the random selection of six different numbers between 1 and 31. If
you select one six number combination, what is the probability that it will be the winning
combination?
21)
22) How many ways can 6 people be chosen and arranged in a straight line if there are 8
people to choose from?
22)
23) There are 8 members on a board of directors. If they must form a subcommittee of 6
members, how many different subcommittees are possible?
23)
From the information provided, create the sample space of possible outcomes.
24) Two white mice mate. The male has both a white and a black fur-color gene. The female
has only white fur-color genes. The fur color of the offspring depends on the pairs of
fur-color genes that they receive. Assume that neither the white nor the black gene
dominates. List the possible outcomes.
25) Flip a coin three times.
24)
25)
Evaluate the expression.
26) 5 P4
26)
Find the indicated probability. Round to the nearest thousandth.
27) A sample of 4 different calculators is randomly selected from a group containing 18 that
are defective and 40 that have no defects. What is the probability that at least one of the
calculators is defective?
Express the indicated degree of likelihood as a probability value.
28) "You have a 50-50 chance of choosing the correct answer."
3
27)
28)
Answer Key
Testname: STAT 50 MORE PROB PROBLEMSS2015
1) Yes
2) 0.9836
3) 0.1390
4) 0.00462963
5) 0.537
6) 0.00299
7) 0.7744
8) Dependent
334
9)
365
10)
1
15
11) 0.572
12) 0.507
13) 9 : 1
14) Yes
15) None of the women accept Calvin's offer.
16) At least one of the textbooks is free of errors.
1
17)
3
18)
2
5
19)
76
87
20)
1
142,506
21)
1
736,281
22) 20,160
23) 28
24) WW, BW
25) HHH HHT HTH HTT THH THT TTH TTT
26) 120
27) 0.785
28) 0.50
4