1. Reports suggest that 62.6%% of United States' homes have a fireplace, 36.5% have a garage and 22.4% have both. Assuming the reports are accurate and a random US home is selected, answer the following. a. Find the probability that the home has a fireplace given that it has a garage. b. Find the probability that the home has neither a fireplace nor a garage. C. Find the probability that the home has a fireplace and does not have a garage.

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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1. Reports suggest that 62.6%% of United States' homes have a fireplace, 36.5% have a
garage and 22.4% have both. Assuming the reports are accurate and a random US home
is selected, answer the following.
a. Find the probability that the home has a fireplace given that it has a garage.
b. Find the probability that the home has neither a fireplace nor a garage.
c. Find the probability that the home has a fireplace and does not have a garage.
d. Find the probability that the home has exactly 1 (a fireplace exclusive or a garage).
e. Find the probability that the home has a fireplace given that it does NOT have a
garage.
Transcribed Image Text:1. Reports suggest that 62.6%% of United States' homes have a fireplace, 36.5% have a garage and 22.4% have both. Assuming the reports are accurate and a random US home is selected, answer the following. a. Find the probability that the home has a fireplace given that it has a garage. b. Find the probability that the home has neither a fireplace nor a garage. c. Find the probability that the home has a fireplace and does not have a garage. d. Find the probability that the home has exactly 1 (a fireplace exclusive or a garage). e. Find the probability that the home has a fireplace given that it does NOT have a garage.
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