A bag contains 11 red marbles and 7 blue marbles. Two marbles are randomly drawn
ID: 3362795 • Letter: A
Question
A bag contains 11 red marbles and 7 blue marbles. Two marbles are randomly drawn without replacement. Find the probability that both marbles are red.
Answer- Round to 2 decimal places. Type a 0 in front of decimal. If your answer is only one decimal, then type for example 0.2 not.2 or 0.20.
A bag contains 11 red marbles and 7 blue marbles. Two marbles are randomly drawn without replacement. Find the probability that both marbles are red.
Answer- Round to 2 decimal places. Type a 0 in front of decimal. If your answer is only one decimal, then type for example 0.2 not.2 or 0.20.
Explanation / Answer
The question looks to be incomplete.
Find the probability that both marbles......
Both marbles are what? Red? Blue? Of the same color? All three answers are provided.
The probability that the first marble is red = 11/18.
Probability that the second marble is also red = 10/17.
=> Probability that both marbles are red = 11/18 * 10/17 = 0.36.
The probability that the first marble is blue = 7/18.
Probability that the second marble is also blue = 6/17.
=> Probability that both marbles are blue = 7/18 * 6/17 = 0.14.
The probability that both marbles are of the same color = 11/18 * 10/17 + 7/18 * 6/17 = 0.50.
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