Find the probability. Please write your answer as a fraction.A jar contains five orange marbles numbered one to five. The jar also contains four green marbles numbered one to four. You randomly pick a marble. It is orange or has an odd number.Answer
Question
Find the probability. Please write your answer as a fraction.A jar contains five orange marbles numbered one to five. The jar also contains four green marbles numbered one to four. You randomly pick a marble. It is orange or has an odd number.Answer
Solution
To solve this problem, we need to find the total number of marbles, the number of orange marbles, and the number of marbles with odd numbers.
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Total number of marbles: There are 5 orange marbles and 4 green marbles, so the total number of marbles is 5 + 4 = 9.
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Number of orange marbles: There are 5 orange marbles.
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Number of marbles with odd numbers: The orange marbles numbered 1, 3, and 5 are odd-numbered, and the green marbles numbered 1 and 3 are odd-numbered. So, there are 3 + 2 = 5 marbles with odd numbers.
However, we have to be careful not to double count the orange marbles with odd numbers. They are already included in the count of orange marbles. So, the total number of marbles that are either orange or have an odd number is 5 (orange marbles) + 2 (odd-numbered green marbles) = 7.
Therefore, the probability of picking a marble that is either orange or has an odd number is 7 out of 9, or 7/9.
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