Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram.

Determining

aa

personperson's

favorite steakfavoritesteak

(rib dash eye left parenthesis Upper R right parenthesis comma filet left parenthesis Upper F right parenthesis comma Upper T dash bone left parenthesis Upper T right parenthesis comma sirloin left parenthesis Upper S right parenthesisrib-eye(R),filet(F),T-bone(T),sirloin(S))

and

donenessdoneness

(rare left parenthesis Upper R right parenthesis comma medium left parenthesis Upper M right parenthesis comma well done left parenthesis Upper W right parenthesisrare(R),medium(M),welldone(W))

Identify the sample space.

2.A probability experiment consists of rolling a fair

1010-sided

die. Find the probability of the event below.

rolling a number greater than 22

The probability is___

A company is conducting a survey to determine how prepared people are for a long-term power outage, natural disaster, or terrorist attack. The frequency distribution on the right shows the results. Use the table to answer the following question.

What is the probability that the next person surveyed is very prepared?

Response

FrequencyFrequency

Open in StatCrunch + Copy to Clipboard + Open in Excel +

Very prepared

262262

Somewhat prepared

931931

Not too prepared

551551

Not at all prepared

344344

Not sure

4646

The probability the next person surveyed is very prepared is

Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.

The probability of rolling a seven on an eight dash sided dice is one eighth equals 0.125 .Theprobabilityofrollingasevenonaneight-sideddiceis18=0.125.

nothing

nothing

Choose the correct answer below.

A.

Classical probability because the probability is based on observations obtained from a probability experiment.

B.

Empirical probability because the probability results from an estimate.

C.

Empirical probabilityEmpiricalprobability

because

the probability is based on observations obtained from atheprobabilityisbasedonobservationsobtainedfroma

probability experiment.probabilityexperiment.

D.

Classical probabilityClassicalprobability

because

each outcome in the sample space is equally likely.eachoutcomeinthesamplespaceisequallylikely.

nothing

E.

Subjective probability because each outcome in the sample space is equally likely.

F.

Subjective probabilitySubjectiveprobability

because

the probability results from an estimate.theprobabilityresultsfromanestimate.

You are trying to determine the probability of

SnowySnowy

(Upper SS)

or

CloudyCloudy

(Upper CC)

weather over the next three days. List the sample space if these are the only two possible types of weather.

A tree diagram has a root that splits into 2 branches labeled Upper S and Upper C. Each primary branch splits into 2 secondary branches, labeled Upper S and Upper C. Each secondary branch splits into 2 tertiary branches, labeled Upper S and Upper C. From left to right each tertiary branch splits into individual branches labeled Upper SUpper SUpper S, Upper SUpper SUpper C, Upper SUpper CUpper S, Upper SUpper CUpper C, Upper CUpper SUpper S, Upper CUpper SUpper C, Upper CUpper CUpper S, and Upper CUpper CUpper C. S

C

S

C

S

C

S

SSS

SSC

SCS

SCC

A tree diagram has a root that splits into 2 branches labeled Upper S and Upper C. Each primary branch splits into 2 secondary branches, labeled Upper S and Upper C. Each secondary branch splits into 2 tertiary branches, labeled Upper S and Upper C. From left to right each tertiary branch splits into individual branches labeled Upper SUpper SUpper S, Upper SUpper SUpper C, Upper SUpper CUpper S, Upper SUpper CUpper C, Upper CUpper SUpper S, Upper CUpper SUpper C, Upper CUpper CUpper S, and Upper CUpper CUpper C. S

C

S

C

S

C

C

CSS

CSC

CCS

CCC

Choose the correct sample space below.

A.

{(Upper SSUpper SSUpper SS),

(Upper SSUpper SSUpper CC),

(Upper SSUpper CCUpper SS),

(Upper SSUpper CCUpper CC),

(Upper CCUpper SSUpper SS),

(Upper CCUpper SSUpper CC),

(Upper CCUpper CCUpper SS),

(Upper CCUpper CCUpper CC)}

B.

{(Upper SSUpper SSUpper SS),

(Upper CCUpper CCUpper CC)}

C.

{(Upper SSUpper SSUpper CC),

(Upper SSUpper CCUpper SS),

(Upper CCUpper SSUpper SS),

(Upper SSUpper CCUpper CC),

(Upper CCUpper SSUpper CC),

(Upper CCUpper CCUpper SS)}

D.

{(Upper SSUpper SSUpper SS),

(Upper SSUpper SSUpper CC),

(Upper SSUpper CCUpper CC),

(Upper CCUpper CCUpper CC)}

(number 9)......... When two

light yellowlightyellow

flowers

(YWYW)

are crossed, there are four equally likely possible outcomes for the genetic makeup of the offspring:

yellowyellow

(YYYY),

light yellowlightyellow(YWYW),

light yellowlightyellow(WYWY),

and

whitewhite

(WWWW).

If two

light yellowlightyellow

snapdragons are crossed, what is the probability that the offspring will be (a)

light yellowlightyellow,

(b)

yellowyellow,

and (c)

whitewhite?

(a) If two

light yellowlightyellow

snapdragons are crossed, the probability that the offspring will be

light yellowlightyellow

is