1. Aditya has a total of 18 red and blue marbles in two bags (each bag has marbles of both colors). A
marble is randomly drawn from the first bag followed by another randomly drawn from the
second bag, the probability of both being red is 5/16. What is the probability of both marbles being blue?
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By: anil on 05 May 2019 02.37 am
Probability of both marbles being red = Probability of red from 1st * probability of red from 2nd = $$frac{5}{16}$$ $$ecause$$ Each bag has marbles of both colors and probability cannot be greater than 1 => $$frac{5}{16} = frac{5}{8} imes frac{1}{2}$$ where, probability of red marbles from 1st bag = $$frac{5}{8}$$ => Probability of blue marbles from 1st bag = $$1 - frac{5}{8} = frac{3}{8}$$ Similarly, Probability of red marbles from 1st bag = $$frac{1}{2}$$ => Probability of blue marbles from 2nd bag = $$1 - frac{1}{2} = frac{1}{2}$$ $$ herefore$$ Probability of both blue marbles = $$frac{3}{8} imes frac{1}{2}$$ = $$frac{3}{16}$$
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