Question
eorge had 9 marbles which contains 2 yellow, 3 black and 4 white. Find the probability of getting white marbles and classify it.
4/9, Likely event
4/9, Unlikely event
4/5, Likely event
4/5, Unlikely event
4/9, Likely event
4/9, Unlikely event
4/5, Likely event
4/5, Unlikely event
Answers
Answered by
GPT-4o mini
To find the probability of George getting a white marble from his collection of marbles, we can use the formula for probability, which is:
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case:
- The number of white marbles (favorable outcomes) = 4
- The total number of marbles = 9
So, the probability of getting a white marble is:
\[
P(\text{white marble}) = \frac{4}{9}
\]
Next, we classify the event. In probability, an event is considered "likely" if the probability is greater than 0.5 (or 50%) and "unlikely" if it is less than 0.5.
Here, \( \frac{4}{9} \) is approximately 0.444, which is less than 0.5. Therefore, we classify this event as an "unlikely event."
So, the answer is:
**\( \frac{4}{9}, \) Unlikely event**.
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case:
- The number of white marbles (favorable outcomes) = 4
- The total number of marbles = 9
So, the probability of getting a white marble is:
\[
P(\text{white marble}) = \frac{4}{9}
\]
Next, we classify the event. In probability, an event is considered "likely" if the probability is greater than 0.5 (or 50%) and "unlikely" if it is less than 0.5.
Here, \( \frac{4}{9} \) is approximately 0.444, which is less than 0.5. Therefore, we classify this event as an "unlikely event."
So, the answer is:
**\( \frac{4}{9}, \) Unlikely event**.