Exam 12: Counting and Probability

Solve the problem. -The table below shows the results of a consumer survey of annual incomes in 100 households. Income Number of households \ 0-14,999 9 \ 15,000-24,999 25 \ 25,000-34,999 27 \ 35,000-44,999 25 \ 45,000 or more 14 What is the probability that a household has an annual income between $15,000 and $44,999 inclusive?

Solve the problem. -A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3? A) $\frac { 10 } { 9 }$ B) 17 C) $\frac { 2 } { 3 }$ D) $\frac { 1 } { 3 }$

Solve the problem. -A coin is weighted so that heads is 16 times as likely as tails to occur. What probability should be assigned to heads? to tails?

Solve the problem. -A certain mathematics test consists of 20 questions. Goldie decides to answer the questions without reading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true and false?

Solve the problem. -How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 6 forwards, 7 midfield players, and 5 defensive players?

Solve the problem. -A man has 10 shirts and 9 ties. How many different shirt and tie arrangements can he wear?

Solve the problem. -A survey of 2,504 credit card users indicated that 1,167 had bought books online, 1,226 had bought music online, 431 had bought pet supplies online, 128 had bought both books and music, 227 had bought both books and pet Supplies, 198 had bought both music and pet supplies, and 99 had bought all three. How many credit card users Did not buy any of the three? How many bought either books or pet supplies but not music?

Solve the problem. -In a probability model, which of the following numbers could be the probability of an outcome: $0,0.2 , - 0.01 , - \frac { 1 } { 3 } , \frac { 1 } { 2 } , \frac { 5 } { 4 } , 1,1.5$

Solve the problem. -A bag contains 9 red marbles, 3 blue marbles, and 7 green marbles. If one marble is selected at random, determine the probability that it is blue. A) $\frac { 3 } { 19 }$ B) $\frac { 1 } { 4 }$ C) $\frac { 9 } { 19 }$ D) $\frac { 7 } { 19 }$

Solve the problem. - Outcome Probability Red -0.21 Blue 0.27 Green 0.30 White 0.22

Solve the problem. -Find the probability of getting 2 tails when 3 fair coins are tossed. A) $\frac { 2 } { 3 }$ B) $\frac { 1 } { 2 }$ C) $\frac { 1 } { 4 }$ D) $\frac { 3 } { 8 }$

Solve the problem. -Mary finds 8 fish at a pet store that she would like to buy, but she can afford only 5 of them. In how many ways can she make her selection? How many ways can she make her selection if he decides that one of the fish is a Must?

Solve the problem. -A twelve-sided die is weighted so that only the numbers 1 through 8 will appear and they will occur with the same probability. What probability should be assigned to each face?

Solve the problem. -Lisa has 4 skirts, 10 blouses, and 4 jackets. How many 3-piece outfits can she put together assuming any piece goes with any other?

Solve the problem. -How many different 11-letter words (real or imaginary) can be formed from the letters of the word MISSISSIPPI? Leave your answer in factorial form.

Solve the problem. - Outcome Probability Golfing 0.13 Skiing 0.21 Swimming 0.12 Biking 0.28 Hiking 0.26

Solve the problem. -Given that P(A) = 0.14 and P(B) = 0.46, find P(A $P ( A \cap B )$

onstruct a probability model for the experiment. -Rolling a 6-sided fair die once

Solve the problem. -How many 2-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

Find the value of the permutation. -P(11, 4)