To find the probability of choosing a blue marble from the bag, we first need to determine the total number of marbles in the bag.
The bag contains:
- 7 red marbles
- 4 blue marbles
- 3 green marbles
Now, we can add these together to find the total number of marbles:
\[ \text{Total number of marbles} = 7 + 4 + 3 = 14 \]
Next, we want to find the probability of drawing a blue marble. The probability of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the number of favorable outcomes (blue marbles) is 4, and the total number of outcomes (total marbles) is 14. Therefore, the probability of drawing a blue marble is:
\[ P(\text{Blue marble}) = \frac{4}{14} \]
We can simplify this fraction:
\[ P(\text{Blue marble}) = \frac{2}{7} \]
Thus, the probability of choosing a blue marble when one marble is drawn is \(\frac{2}{7}\).
17 answers