a) arg contains 9 marbles. Three marbles
ared, wou are green, and the others are
blue What is the probability that a blue
or green marble will be chosen? Give
vour answer as a ratio.

Question

a) arg contains 9 marbles. Three marbles ared, wou are green, and the others are blue What is the probability that a blue or green marble will be chosen? Give vour answer as a ratio.

UpStudy AI · Accepted Answer

Let's break down the problem step by step:

1. **Identify the total number of marbles**: There are 9 marbles in total.

2. **Identify the number of each color of marbles**:
   - Red marbles: 3
   - Green marbles: 2
   - Blue marbles: The remaining marbles can be calculated as follows:
     $$
     \text{Number of blue marbles} = \text{Total marbles} - (\text{Red marbles} + \text{Green marbles}) = 9 - (3 + 2) = 4
     $$

3. **Calculate the total number of favorable outcomes**: We want to find the probability of choosing either a blue or a green marble. Therefore, we add the number of blue and green marbles:
   $$
   \text{Favorable outcomes} = \text{Green marbles} + \text{Blue marbles} = 2 + 4 = 6
   $$

4. **Calculate the probability**: The probability of choosing a blue or green marble is given by the ratio of favorable outcomes to the total number of outcomes:
   $$
   P(\text{Blue or Green}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{6}{9}
   $$

5. **Simplify the ratio**: We can simplify $$ \frac{6}{9} $$ to its lowest terms:
   $$
   \frac{6}{9} = \frac{2}{3}
   $$

Thus, the probability that a blue or green marble will be chosen is $$ \frac{2}{3} $$.
The probability of choosing a blue or green marble is $$ \frac{2}{3} $$.

a) arg contains 9 marbles. Three marbles
ared, wou are green, and the others are
blue What is the probability that a blue
or green marble will be chosen? Give
vour answer as a ratio.

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