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Three faces of a fair dice are yellow, two are red and one is blue. Find the probability that the dice shows (a) yellow, (b) red and (c ) blue face. |
Answer» Correct Answer - `(a) (1)/(2) (b) (1)/(3) (c ) (1)/(6)` Sample space = `{Y_(1), Y_(2), Y_(3), R_(1), R_(2), B}`, where Y stands from yellow, R for red and B for blue. ltbrltgt Now, `P(Y_(1)) =P(Y_(2)) = P(Y_(3)) = P(R_(1)) = P(R_(2)) = P(B) = (1)/(6)`. `therefore P(Y) = P(Y_(1)) + P(Y_(2)) + P(Y_(3)) = (1)/(6) + (1)/(6) + (1)/(6) = (1)/(2)` `P(R) = P(R_(1)) + P(R_(2)) = (1)/(6) + (1)/(6) = (1)/(3)` And P(B) = `(1)/(6)` |
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