A bag has 7 yellow marbles and 8 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a brown, glass marble?Write your answer as a fraction in simplest form.
Question
A bag has 7 yellow marbles and 8 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a brown, glass marble?Write your answer as a fraction in simplest form.
Solution
Sure, here are the steps to solve the problem:
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First, find out how many brown glass marbles there are. Since half of the brown marbles are made of glass, and there are 8 brown marbles, there are 8/2 = 4 brown glass marbles.
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Next, find out how many total marbles there are. There are 7 yellow marbles and 8 brown marbles, so there are 7 + 8 = 15 total marbles.
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The probability of an event is defined as the number of ways the event can occur divided by the total number of outcomes. In this case, the event is selecting a brown glass marble, and the total number of outcomes is the total number of marbles.
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So, the probability of selecting a brown glass marble is 4 (the number of brown glass marbles) divided by 15 (the total number of marbles).
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Therefore, the probability is 4/15.
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