Question
There are three types of maggi masala maggi, aata maggi
and vegetable maggi in a bag. The probability of picking a vegetable maggi at random is 6/11. The total number of aata maggi is half of vegetable maggi. The probability picking 1 masala maggi and 1 aata maggi out of total number of maggi is 72/715. Find the total number of maggi in bag.Solution
Let total number of maggi be 11x Therefore, number of vegetable maggi = 6x Number of aata maggi type = 6x/2 = 3x Number of masala maggi = 2x According to the question, {(2xC1 × 3xC1)/11xC2} = 72/15 => 2x × 3x/11x (1x – 1) = 72/715 => 66x – 6 = 65x => x = 6 Therefore, total number of maggi = 11x = 66
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