Question
What is the probability of selecting a red marble from a jar that contains 4 red marbles, 7 blue marbles, and 5 green marbles?
Answers
GPT-4o mini
To find the probability of selecting a red marble from the jar, we first need to determine the total number of marbles in the jar and the number of red marbles.
1. **Count the number of red marbles**: There are 4 red marbles.
2. **Count the number of blue marbles**: There are 7 blue marbles.
3. **Count the number of green marbles**: There are 5 green marbles.
Now, we can find the total number of marbles:
\[
\text{Total marbles} = \text{Red} + \text{Blue} + \text{Green} = 4 + 7 + 5 = 16
\]
The probability \( P \) of selecting a red marble is calculated using the formula:
\[
P(\text{Red}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{4}{16}
\]
Now, we can simplify the fraction:
\[
P(\text{Red}) = \frac{4}{16} = \frac{1}{4}
\]
Thus, the probability of selecting a red marble from the jar is \( \frac{1}{4} \) or \( 0.25 \).
1. **Count the number of red marbles**: There are 4 red marbles.
2. **Count the number of blue marbles**: There are 7 blue marbles.
3. **Count the number of green marbles**: There are 5 green marbles.
Now, we can find the total number of marbles:
\[
\text{Total marbles} = \text{Red} + \text{Blue} + \text{Green} = 4 + 7 + 5 = 16
\]
The probability \( P \) of selecting a red marble is calculated using the formula:
\[
P(\text{Red}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{4}{16}
\]
Now, we can simplify the fraction:
\[
P(\text{Red}) = \frac{4}{16} = \frac{1}{4}
\]
Thus, the probability of selecting a red marble from the jar is \( \frac{1}{4} \) or \( 0.25 \).