Question
\( \begin{array}{l}\text { A jar contains } 30 \text { red marbles, } 12 \text { yellow marbles, } 8 \text { green } \\ \text { marbles and } 5 \text { blue marbles }\end{array} \) \( \begin{array}{ll}\text { 18. What is the probability that you draw a } \\ \text { red marble? (answer in fraction) }\end{array} \) Type a response
Ask by Cox Christensen. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of drawing a red marble is \( \frac{6}{11} \).
Solution
1. Compute the total number of marbles:
\[
30 + 12 + 8 + 5 = 55
\]
2. The probability of drawing a red marble is given by:
\[
\frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{30}{55}
\]
3. Simplify the fraction by dividing the numerator and denominator by \(5\):
\[
\frac{30 \div 5}{55 \div 5} = \frac{6}{11}
\]
Thus, the probability that you draw a red marble is \( \frac{6}{11} \).
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Simplify this solution The Deep Dive
To find the probability of drawing a red marble, first, we need to determine the total number of marbles in the jar. Adding them up gives us \(30 + 12 + 8 + 5 = 55\) marbles in total. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: \[ \frac{30}{55} = \frac{6}{11} \] So, the probability of drawing a red marble is \(\frac{6}{11}\). Remember, probabilities tell us how likely an event is to happen, and expressing them as fractions makes it easier to understand in terms of chances!
