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Math Probability Exam Review - Walters State Comm College - Chapter 3 - Prof. William L. M, Exams of Probability and Statistics

Review questions for chapter 3 of the math 1530 course at walters state community college. The questions cover various probability concepts, including rolling dice, meteorological records, coin tossing, and card games. Students are expected to find probabilities of specific events using theoretical and empirical methods.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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Math 1530 Walters State Comm College Review Exam Ch. 3
1. In rolling a die, what is the probability of obtaining either a 5 or a 6?
2. On four consecutive rolls of a die a 6 is obtained. What is the probability of obtaining a 6 on the 5
th
roll?
3. Based on meteorological records, the probability that it will snow in a certain town on Jan 17 is 0.315. Find the probability
that it will not snow in that particular town on Jan 17.
4. In tossing a coin, what is the probability of obtaining HHHTH in that order in five tosses?
5. Consider a standard deck of 52 cards. Determine the following probabilities.
A. P(9 of clubs)
B. P(ace)
C. P(ace of spades and ace of hearts) in that order with and without replacement
D. P(3 aces) with and without replacement
E. P(ace, king, queen) in that order with and without replacement
6. An urn contains 20 red balls, 20 green balls, and 20 yellow balls. Suppose three balls are randomly selected. Find the
following probabilities.
A. P(3 red) with and without replacement
B. P(3 balls of any one color) without replacement (3 reds or 3 greens or 3 yellows)
C. P(3 different colors) with replacement (a thinking challenge question)
7. A coin is tossed 500 times with the results being 240 heads and 260 tails. What is the relative frequency (empirical)
probability of getting a head from this experiment?
8. Two dice, one red and one white are tossed. Determine the probability of:
A. P(2 white dice)
B. P(7)
C. P(red = 6)
D. P(red = 6 | sum = 11)
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Math 1530 Walters State Comm College Review Exam Ch. 3

  1. In rolling a die, what is the probability of obtaining either a 5 or a 6?
  2. On four consecutive rolls of a die a 6 is obtained. What is the probability of obtaining a 6 on the 5th^ roll?
  3. Based on meteorological records, the probability that it will snow in a certain town on Jan 17 is 0.315. Find the probabilitythat it will not snow in that particular town on Jan 17.
  4. In tossing a coin, what is the probability of obtaining HHHTH in that order in five tosses?
  5. Consider a standard deck of 52 cards. Determine the following probabilities. A. P(9 of clubs)

B. P(ace)

C. P(ace of spades and ace of hearts) in that order with and without replacement

D. P(3 aces) with and without replacement

E. P(ace, king, queen) in that order with and without replacement

  1. An urn contains 20 red balls, 20 green balls, and 20 yellow balls. Suppose three balls are randomly selected. Find the following probabilities. A. P(3 red) with and without replacement

B. P(3 balls of any one color) without replacement (3 reds or 3 greens or 3 yellows)

C. P(3 different colors) with replacement ( a thinking challenge question)

  1. A coin is tossed 500 times with the results being 240 heads and 260 tails. What is the relative frequency (empirical) probability of getting a head from this experiment?
  2. Two dice, one red and one white are tossed. Determine the probability of: A.B. P(2 white dice)P(7)

C. P(red = 6)

D. P(red = 6 | sum = 11)

  1. A red die and a white die are tossed. Consider these events to find the following probabilities. M. Red die = 4 N.O. sum is 12sum is even P. white die = even A. P(M)

B. P(N)

C. P(M or N)

D. P(M and N) (P(red die is 4 and the sum is 12))

E. P(O)

F. P(M | P)

  1. The table below describes the smoking habits of a group of asthma sufferers. One person is randomly selected. Use the table to find the following probabilities. Nonsmoker OccasionalSmoker RegularSmoker SmokerHeavy Totals Men 382 37 60 34 Women 403 31 74 37 Totals a. P(heavy smoker) b. P(Occasional Smoker | Male) c. P(Woman or Regular Smoker) d. P(Man and Nonsmoker) .. (the one person is both male and a nonsmoker) e. P(Male |Occasional Smoker) f. P(Regular smoker | woman)
  2. 10% of a particular brand of batteries produced are defective. Suppose 8 batteries are randomly selected and installed in adevice to determine if the battery is good. Find the probability that:

A. at least 1 battery is good.

B. all 8 batteries are good.