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statistics

6. You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0.11. This means that
A.
in every 100 bridge deals, each player has one ace exactly 11 times.
B.
in one million bridge deals, the number of deals on which each player has one ace will scarcely be within ±100 of 110,000.
C.
in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to 11%.
D.
in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11.

7.If the knowledge that an event A has occurred implies that a second event B cannot occur, the events A and B are said to be
A.
independent.
B.
disjoint.
C.
mutually exhaustive.
D.
the sample space.
E.
complementary.

8. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume that the table below gives the probability that a randomly chosen M&M has each color.
Color Brown Red Yellow Green Orange Tan
Probability .3 .3 ? .1 .1 .1

R-3 Ref 6-2
The probability of drawing a yellow candy is
A.
0.
B.
.1.
C.
.2.
D.
.3.
E.
impossible to determine from the information given.

9. Suppose we roll a red die and a green die. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the green die is more than three.
R-4 Ref 6-6
P(A  B) =
A.
1.
B.
5/6.
C.
2/3.
D.
1/4.
E.
1/6.

10. Suppose we roll a red die and a green die. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the green die is more than three.
R-4 Ref 6-6
P(A  B) =
A.
1/6.
B.
1/4.
C.
1/3.
D.
5/6.
E.
none of these.

11. Suppose we roll a red die and a green die. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the green die is more than three.
R-4 Ref 6-6
The events A and B are
A.
disjoint.
B.
conditional.
C.
independent.
D.
reciprocals.
E.
complementary.

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