Probability: A Graduate Course (2nd Edition,
2014) – Solutions Manual – Gut
You roll a standard die (with the numbers {1,2,3,4,5,6} on its faces). Let A be the event that you
roll an odd number. What is the probability of the event A? - answers-1/2
The event A consists of the outcomes {1,3,5} and there are a total of six possible outcomes
S={1,2,3,4,5,6}. Therefore, P(A)=3/6 = 1/2
An urn contains 6 red beads, 4 blue beads, and 2 green beads. If a single bead is picked at
random, what is the probability that the bead is blue? - answers-1/3
4 balls are blue/ 12 total amount of balls
4/12 = 1/3
Martin is a food critic reviewing a restaurant that has 6 main courses, 3 desserts, and 5
appetizers he has yet to try. Martin asks the server to surprise him with one of the remaining
items. What is the probability that Martin is served a main course? - answers-3/7
There are 6 main courses / total of 6+3+5=14
the probability is 6/14 = 3/7
According to a poll, 37 out of every 100 people support a new bill about to be signed into law.
Identify what method of probability was used to reach this statement.
1
, theoretical
relative frequency - answers-Relative frequency
Out of the 100 people observed in this poll, 37 reported being in favor of the bill. The estimated
probability from this poll is the number of people who support the bill divided by the total
number of people polled= 37/100
In the year 2013, the state of Oklahoma reported that the probability of a randomly selected
adult being obese was 32.5%. Identify the method of probability that was used to reach this
conclusion.
theoretical
relative frequency - answers-Relative frequency
The state of Oklahoma gathered data on adult weights. Researchers determined from the data
that in the year 2013, 32.5% of adults were obese.
During last year, the probability of any day being rainy in one city was 105365. Identify the
method of probability that was used to reach this statement.
theoretical
relative frequency - answers-Relative frequency
Since it was observed over the past year that it rained on 105 of 365 days, the probability can
be directly measured. The probability is calculated as
number of rainy days/total number of days in the year
2
2014) – Solutions Manual – Gut
You roll a standard die (with the numbers {1,2,3,4,5,6} on its faces). Let A be the event that you
roll an odd number. What is the probability of the event A? - answers-1/2
The event A consists of the outcomes {1,3,5} and there are a total of six possible outcomes
S={1,2,3,4,5,6}. Therefore, P(A)=3/6 = 1/2
An urn contains 6 red beads, 4 blue beads, and 2 green beads. If a single bead is picked at
random, what is the probability that the bead is blue? - answers-1/3
4 balls are blue/ 12 total amount of balls
4/12 = 1/3
Martin is a food critic reviewing a restaurant that has 6 main courses, 3 desserts, and 5
appetizers he has yet to try. Martin asks the server to surprise him with one of the remaining
items. What is the probability that Martin is served a main course? - answers-3/7
There are 6 main courses / total of 6+3+5=14
the probability is 6/14 = 3/7
According to a poll, 37 out of every 100 people support a new bill about to be signed into law.
Identify what method of probability was used to reach this statement.
1
, theoretical
relative frequency - answers-Relative frequency
Out of the 100 people observed in this poll, 37 reported being in favor of the bill. The estimated
probability from this poll is the number of people who support the bill divided by the total
number of people polled= 37/100
In the year 2013, the state of Oklahoma reported that the probability of a randomly selected
adult being obese was 32.5%. Identify the method of probability that was used to reach this
conclusion.
theoretical
relative frequency - answers-Relative frequency
The state of Oklahoma gathered data on adult weights. Researchers determined from the data
that in the year 2013, 32.5% of adults were obese.
During last year, the probability of any day being rainy in one city was 105365. Identify the
method of probability that was used to reach this statement.
theoretical
relative frequency - answers-Relative frequency
Since it was observed over the past year that it rained on 105 of 365 days, the probability can
be directly measured. The probability is calculated as
number of rainy days/total number of days in the year
2
