Exam 12: Counting and Probability

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed: Number of Siblings Probability 0 0.25 1 0.34 2 0.21 3 0.09 4 or more 0.11 What is the probability that a student 3 or more siblings?

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed: Number of Siblings Probability 0 0.23 1 0.34 2 0.17 3 0.12 4 or more 0.14 What is the probability that a student has 1, 2, or 3 siblings?

Write down all the subsets of the given set. - $\{ a \}$

Solve the problem. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 2, 9, or 4? A) $\frac { 1 } { 10 }$ В) $\frac { 1 } { 9 }$ C) $\frac { 3 } { 10 }$ D) $\frac { 1 } { 2 }$

Solve the problem. -In a survey of 189 vacationers in a popular beach resort town, 73 indicated they would consider buying a home there, 73 would consider buying a beach villa, 59 would consider buying a lot, 24 would consider both a home And a villa, 27 would consider both a home and a lot, 26 would consider both a villa and a lot, and 12 would Consider all three. How many vacationers would not consider any of the three? How many would consider only A home?

Solve the problem. -The psychology lab at a college is staffed by 9 male doctoral students, 8 female doctoral students, 16 male undergraduates, and 6 female undergraduates. If a person is selected at random from the group, find the Probability that the selected person is an undergraduate or a female. A) $\frac { 10 } { 13 }$ В) $\frac { 14 } { 39 }$ C) $\frac { 22 } { 39 }$ D) $\frac { 8 } { 13 }$

Solve the problem. -Suppose that the sample space is $\mathrm { S } = \{ 1,2,3,4,5,6,7,8,9,10 \}$ and that outcomes are equally likely. Compute the probability of the event $E = \{ 2,10 \}$ .

Solve the problem. - $\text { If } n ( A ) = 40 , n ( B ) = 33 \text {, and } n ( A \cap B ) = 10 \text {, find } n ( A \cup B ) \text {. }$

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed: Number of Siblings Probability 0 0.27 1 0.33 2 0.17 3 0.10 4 or more 0.13 What is the probability that a student has at least 2 siblings?

Solve the problem. -From 9 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are possible?

Solve the problem. -A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 3 of the extras?

Solve the problem. -A restaurant offers a choice of 5 salads, 7 main courses, and 3 desserts. How many possible 3-course meals are there?

Use the information given in the figure. - How many are in A and B and C?

Use the information given in the figure. - How many are in A or B or C?

Solve the problem. -Given that P(A) = 0.56 and P(B) = 0.26, find P(A $P ( A \cup B )$

Solve the problem. -Given that P(A) = 0.5 $P ( A \cup B ) = 0.6 \text {, and } P ( A \cap B ) = 0.29 \text {, find } P ( B ) \text {. }$

onstruct a probability model for the experiment. -Tossing a fair coin twice given that the coin is weighted so that heads is three times as likely as tails to occur.

Solve the problem. -List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4, 3)?

Write down all the subsets of the given set. - $\{ \mathrm { p } , \mathrm { q } , \mathrm { r } \}$

Solve the problem. -A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is red or green when one marble is drawn from the bag? A) 6 B) $\frac { 2 } { 3 }$ C) $\frac { 1 } { 3 }$ D) $\frac { 3 } { 2 }$