Name: ______Period: _____

**CHS Statistics: 3.3-3.5 Review**

1)If the probability the Penguins win the Eastern Conference is 0.45 and the probability the Ottawa Senators win the Eastern Conference is 0.28, can we determine the probability that the Penguins or Senators win the Eastern Conference? If yes, calculate, otherwise explain.

2)If a single card is drawn from a standard deck of cards, what is the probability of the following?

P( 9 ∩ Club) =

Are the events, club and 9, independent or dependent? Explain.

3)Determine the probability of tossing a coin 6 times and getting at least one head.

4)If a zoologist has 4 male guinea pigs and 8 female guinea pigs and randomly selects two for an experiment, then what are the following probabilities?

- P(both are females) =

- P(both are males) =

- P(there will be one of each gender) =

5)Construct a sample space for the experiment of rolling a pair of dice one black and one white) and recording the sum by completing the table below.

1 / 2 / 3 / 4 / 5 / 61

2

3

4

5

6

Find the probability of the following sums:

- P(9) = b. P(6) = c. P(odd or 6) = d. P(even or odd)=

e. P(odd and even) = f. P(more than 3 on white and sum of 9) =

6)A version of the dice game “Craps” is played in the following manner:

A player starts by rolling the two dice. If a sum of 7 or 11 results, then the player wins. If a 2 results, then the player loses. For all other sums rolled, the player rolls the dice until the sum recurs, in which the player wins. If a 7,11, or 2 occur before the player rolls their number, then they lose.

a.)What is the probability of the game ending on the first roll?

b.)What is the probability of the player winning, given that the game ends on the first roll?

c.)If a player rolls a sum of 3 on the first roll, what is the probability that the game ends on the next roll?

7)A sample of automobiles dealerships found that 19% of automobiles sold are silver, 22% of automobiles sold are SUVs. 16% of automobiles are silver SUVs.

- Are the two events mutually exclusive?

- What is the probability that a randomly chosen sold automobile is silver or an SUV?

8)Nursing Majors: The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences center for a recent semester.

Nursing MajorsN / Non-nursing Majors

NN / Total

Males / 95 / 1015 / 1110

Females / 700 / 1727 / 2427

Total / 795 / 2742 / 3537

- P(N)=d. P(N|M) =

- P(M)=e. P( N U F) =

- P(N ∩ F) f. P(F | NN )

Are events F and N, independent or dependent? Explain.

9)Country-Western songs emphasize three basic themes: love, prison, and trucks. A survey of the local Country-Western radio station produced the following results:

10 songs about a truck driver who is in love while in prison

15 about a prisoner in love

18 about a truck driver in love

13 about a truck driver in prison

20 about people in prison

8 about people who are not in prison, are not in love, and do not drive a truck

26 about truck drivers.

24 about a person in love

P(T) = P(L U P) = P(L U T) =

P( L ) = P( L ∩ P) =P( T | P) =