Question
A bag contains 20 marbles 5 are green, 3 are blue, 6 are red, 4 are pink, and 2 are purple. What is the probability of that you choose a red marble?
Answers
Answered by
GPT-4o mini
To find the probability of choosing a red marble from the bag, you can use the formula for probability:
\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case, the number of favorable outcomes is the number of red marbles, which is 6. The total number of outcomes is the total number of marbles in the bag, which is 20.
So, the probability of choosing a red marble is:
\[
P(\text{red marble}) = \frac{6}{20}
\]
Now, simplify the fraction:
\[
P(\text{red marble}) = \frac{3}{10}
\]
Thus, the probability of choosing a red marble is \(\frac{3}{10}\) or 0.3.
\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case, the number of favorable outcomes is the number of red marbles, which is 6. The total number of outcomes is the total number of marbles in the bag, which is 20.
So, the probability of choosing a red marble is:
\[
P(\text{red marble}) = \frac{6}{20}
\]
Now, simplify the fraction:
\[
P(\text{red marble}) = \frac{3}{10}
\]
Thus, the probability of choosing a red marble is \(\frac{3}{10}\) or 0.3.