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A Bag Contains 2 Red, 3 Green And 2 Blue Balls. Two Balls Are Drawn At Random. What Is The Probability That None Of The Balls Drawn Is Blue? |
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Answer» Total number of balls = (2 + 3 + 2) = 7. Let S be the sample space. Then, N(S) = Number of WAYS of drawing 2 balls out of 7 =7C2 = 21 Let E = EVENT of drawing 2 balls, none of which is blue. n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls =5C2= 10 Therefore, P(E) = n(E)/n(S) = 10/ 21. Total number of balls = (2 + 3 + 2) = 7. Let S be the sample space. Then, n(S) = Number of ways of drawing 2 balls out of 7 =7C2 = 21 Let E = Event of drawing 2 balls, none of which is blue. n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls =5C2= 10 Therefore, P(E) = n(E)/n(S) = 10/ 21. |
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