Test 1 (PreTest)- Probability and Counting Rules

# Test 1 (PreTest)- Probability and Counting Rules -...

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Introduction to Statistics and Probability PreTest - Probability and Counting Rules Objecticve: You will be able to. .. determine sample spaces and find the probability of an event using classical probability or empirical probability. find the probability of compound events using the addition rules find the probability of compound events using multiplication rules find the toal number of outcomes in a sequence of events using the fundamental counting rule find the number of ways that r objects can be selected from n objects (with regard to order) using the permutation rule find the number of ways that r objects can be selected from n objects (without regard to order) using the combination rule find the probability of an event using the counting rules. Name___________________________________ Date__________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. 1) A survey resulted in the sample data in the given table. If one of the survey respondents is randomly selected, find the probability of getting someone who lives in a flat. Type of accommodation Number House 314 Flat 451 Apartment 519 Other 582 A) 0.242 B) 0.002 C) 451 D) 0.351 Find the indicated probability by using the special addition rule. 2) The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 410 21 - 25 406 26 - 30 201 31 - 35 58 Over 35 21 1096 A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places. A) 259 B) 0.236 C) 0.053 D) 0.183 1

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3) The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 409 21 - 25 405 26 - 30 219 31 - 35 56 Over 35 26 1115 A student from the community college is selected at random. Find the probability that the student is at least 31. Round approximations to three decimal places. A) 0.050 B) 0.926 C) 0.074 D) 82 4) Two 6 - sided dice are rolled. What is the probability that the sum of the numbers on the dice is 6 or 10? A) 4 3 B) 2 9 C) 1 60 D) 4 9 5) A card is drawn from a well - shuffled deck of 52 cards. What is the probability of drawing a face card or a 5? A) 48 52 B) 4 13 C) 2 13 D) 16 Find the indicated probability by using the general addition rule. 6) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 6. A)
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## This note was uploaded on 02/03/2012 for the course MATH 101 taught by Professor Lee during the Spring '11 term at International Institute for Higher Education.

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Test 1 (PreTest)- Probability and Counting Rules -...

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