Answered: The probability that a randomly…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

The probability that a randomly selected employee of Company Y is female is 0.60.
The probability that an employee of the same company works in the Marketing
department, given that the employee is female, is 0.20. What is the probability
that a randomly selected employee of the company will be female and will work in
the Marketing department?
There are thirteen (13) teams participating in a general knowledge competition.
What is the probability of correctly predicting the top four teams at the end of the
competition, in the correct order?

$A bag contains 9 green and 11 blue marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. TOTAL No. of Females No. of Males Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). What is the probability that the two selected marbles will be the same colour? The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of cellphone: PREFERRED BRAND OF CELLPHONE Apple 100 65 165 Samsung 110 115 225 Vivo 40 20 60 TOTAL 250 200 450 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? What is the probability of randomly selecting a respondent from the sample who is not female? What is the probability of randomly selecting a respondent who is female and prefers Samsung? What is the probability of selecting a respondent who is male, given that they prefer Apple?$

Transcribed Image Text:A bag contains 9 green and 11 blue marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. TOTAL No. of Females No. of Males Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). What is the probability that the two selected marbles will be the same colour? The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of cellphone: PREFERRED BRAND OF CELLPHONE Apple 100 65 165 Samsung 110 115 225 Vivo 40 20 60 TOTAL 250 200 450 What is the probability of randomly selecting a respondent from the sample who prefers Vivo? What is the probability of randomly selecting a respondent from the sample who is not female? What is the probability of randomly selecting a respondent who is female and prefers Samsung? What is the probability of selecting a respondent who is male, given that they prefer Apple?

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