A ball is drawn at random from a box containing... - SS2 Mathematics Probability Question
A ball is drawn at random from a box containing \(6\ red\ balls,\ 4\ white\ balls\ \)and\(\ 5\ green\ balls\). Determine the probability that it is:
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\(Red\)
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\(White\)
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\(Blue\)
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\(Not\ red\)
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\(Red\ or\ white\)
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\[total\ number\ of\ balls = 6 + 4 + 5 = 15\]
\[P(r) = \ \frac{6}{15},\ \ P(b) = \ \frac{4}{15},\ \ P(g) = \ \frac{5}{15}\]
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\(P(RED) = \frac{6}{15}\)
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\(P(WHITE) = \frac{0}{15} = 0\)
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\(P(BLUE) = \frac{4}{15}\)
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\(P(not\ RED) = P(BLUE) + P(GREEN) = \ \frac{4}{15} + \frac{5}{15} = \frac{9}{15} = \frac{3}{5}\)
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\(P(RED\ or\ WHITE) = P(RED) + P(WHITE) = \frac{6}{15} + 0 = \frac{6}{15}\)
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