SOLUTION: A box contains 17 large marbles and 14 small marbles. Each marble is either green or white. 10 of the large marbles are green, and 4 of the small marbles are white. If a marble
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-> SOLUTION: A box contains 17 large marbles and 14 small marbles. Each marble is either green or white. 10 of the large marbles are green, and 4 of the small marbles are white. If a marble
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Question 1165550: A box contains 17 large marbles and 14 small marbles. Each marble is either green or white. 10 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places. Answer by ikleyn(52781) (Show Source):
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A box contains 17 large marbles and 14 small marbles. Each marble is either green or white.
10 of the large marbles are green, and 4 of the small marbles are white.
If a marble is randomly selected from the box, what is the probability that it is small or white?
Express your answer as a fraction or a decimal number rounded to four decimal places.
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We can re-phrase the given part of the problem in this way:
A box contains 17 large marbles, of which 10 marbles are green and 17-10 = 7 marbles are white.
The box also contains 14 small marbles, of which 4 are white and 14-4 = 10 are green.
Then the answer to the problem's question in general form is
P = .
Obviously, n(favorable = n(small) + n(white from the group of large) = 14 + 7 = 21.
n(total) = n(large) + n(small) = 17 + 14 = 31.
Thus the Answer is P = = 0.6774 (rounded as requested).
