A box contains 1212 large marbles and 1212 small marbles. Each marble is either green or white. 44 of the large marbles are green, and 55 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is large or green? Express your answer as a fraction or a decimal number rounded to four decimal places.
A box contains 1212 large marbles and 1212 small marbles. Each marble is either green or white. 44 of the large marbles are green, and 55 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is large or green? Express your answer as a fraction or a decimal number rounded to four decimal places.
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
A box contains 1212 large marbles and 1212 small marbles. Each marble is either green or white. 44 of the large marbles are green, and 55 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is large or green? Express your answer as a fraction or a decimal number rounded to four decimal places.
Expert Solution
Step 1
Given that there are 12 large marbles and 12 small marbles.
4 of the large marbles are green. This means (12-4)=8 of the large marbles are white.
5 of the small marbles are white. This means (12-5)=7 of the small marbles are green.
So there are (4+7)=11 green marbles
And total (12+12)=24 marbles
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