There are 8 yellow marbles and 12 blue marbles in an urn, find the probability of getting a blue marble.
Understand the Problem
The question is asking us to calculate the probability of drawing a blue marble from an urn that contains both yellow and blue marbles. To solve this, we need to determine the total number of marbles and the number of blue marbles, then use the formula for probability (number of favorable outcomes/total outcomes).
Answer
$ P(\text{blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} $
Answer for screen readers
The probability of drawing a blue marble is given by:
$$ P(\text{blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} $$
Fill in the actual numbers based on your counts.
Steps to Solve
- Identify the total number of marbles
First, you need to know how many marbles are in total in the urn. This includes both blue and yellow marbles.
- Count the number of blue marbles
Next, determine how many of those marbles are blue.
- Calculate the probability
Use the probability formula, which is the number of favorable outcomes over the total outcomes.
This can be represented as:
$$ P(\text{blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} $$
- Substitute the values
Insert the numbers you've counted into the probability formula to get the final answer.
The probability of drawing a blue marble is given by:
$$ P(\text{blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} $$
Fill in the actual numbers based on your counts.
More Information
The probability formula is a fundamental concept in statistics and helps in understanding how likely events are to occur based on favorable outcomes and total possibilities.
Tips
- Failing to count all marbles correctly, which can lead to incorrect totals.
- Confusing the number of favorable outcomes with the total outcomes in the probability formula.
