QuestionA pack has 5 red, 6 yellow, 8 purple, and 11 blue balloons. What is the probability of picking a yellow balloon?

Studdy Solution

STEP 1

Assumptions1. The pack contains5 red balloons,6 yellow balloons,8 purple balloons, and11 blue balloons. . A balloon is randomly selected from the bag.
3. We are interested in the probability of selecting a yellow balloon.

STEP 2

First, we need to calculate the total number of balloons in the pack. We can do this by adding the number of each color of balloons.
$Total\, balloons = Red\, balloons + Yellow\, balloons + Purple\, balloons + Blue\, balloons$

STEP 3

Now, plug in the given values for the number of each color of balloons to calculate the total number of balloons.
$Total\, balloons =5 +6 +8 +11$

STEP 4

Calculate the total number of balloons in the pack.
$Total\, balloons = +6 +8 +11 =30$

STEP 5

Now that we have the total number of balloons, we can calculate the probability of selecting a yellow balloon. The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.
$Probability\, of\, yellow = \frac{Yellow\, balloons}{Total\, balloons}$

STEP 6

Plug in the values for the number of yellow balloons and the total number of balloons to calculate the probability.
$Probability\, of\, yellow = \frac{6}{30}$

STEP 7

implify the fraction to get the probability.
$Probability\, of\, yellow = \frac{6}{30} = \frac{1}{5}$ The probability that a randomly selected balloon from the pack is yellow is $\frac{1}{5}$ .

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