Answer :
Final answer:
The probability of randomly picking a blue balloon from the bag is calculated by dividing the number of blue balloons by the total number of balloons, resulting in a probability of 4/13. This shows that out of all the balloons, a little less than one-third are blue. Therefore, when you randomly select a balloon, there's a 4 out of 13 chance that it will be blue.
Explanation:
Calculating the Probability of Choosing a Blue Balloon
To calculate the probability of randomly picking a blue balloon from the bag, we need to use the formula for probability:
Probability (P) = (Number of favorable outcomes) / (Total number of outcomes)
In this scenario:
- Number of blue balloons = 20
- Total number of balloons = 17 + 12 + 16 + 20 = 65
Now, substituting the values into the probability formula, we get:
P(blue balloon) = Number of blue balloons / Total number of balloons
P(blue balloon) = 20 / 65
This fraction can be simplified:
P(blue balloon) = 4 / 13
Thus, the probability of randomly selecting a blue balloon from the bag is 4/13.
Learn more about Probability here:
https://brainly.com/question/32117953