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A bag has 5 red marbles, 4 green marbles and 3 blue marbles. All marbles are identical in all respects other than colour. A marble is taken out from the bag without looking into it. What is the probability that it is a non-green marble?1. \(\frac{7}{12}\)2. \(\frac{5}{12}\)3. \(\frac{1}{3}\)4. \(\frac{2}{3}\) |
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Answer» Correct Answer - Option 4 : \(\frac{2}{3}\) Given: The bag has red marbles = 5 The bag has green marbles = 4 The bag has blue marbles = 3 Concept used: The probability formula is used to compute the probability of an event to occur. To recall, the likelihood of an event happening is called probability. Formulae required: Probability P(A) = the number of favourable outcomes/total number outcomes Calculations: The total number of marbles = 5 + 4 + 3 ⇒ 12 Non- green marble = not green The non-green marbles in a bag = total marbles - green marbles ⇒ 12 - 4 = 8 Probability of non-green marble = 8/12 ⇒ 2/3 ∴ The probability that it is a non-green marble is 2/3 |
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