Question 1195138
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The probability is 35% that a red marble is selected first, and the numbers of red and white marbles are the same, so the probability is also 35% that a white marble is selected first.<br>
That means the probability of selecting either a blue or green marble first is (100-35-35) = 30%.<br>
Then, since the number of green marbles is 5 times the number of blue marbles, that 30% probability of selecting either a blue or a green breaks down into a 25% probability of selecting a green and a 5% probability of selecting a blue.<br>
The ratio of the numbers of marbles of the different colors is the same as the ratio of the probabilities of selecting each color first: B:G:R:W = 5:25:35:35 = 1:5:7:7.<br>
So the smallest possible number of green marbles in the bag is 5.<br>
ANSWER: 5<br>