How to Calculate Probability: Step-by-Step Guide for Students
Quick Answer
To calculate the probability of choosing a lemon-lime or orange flavored drink from a cooler of 14 bottles, add the favorable outcomes (9) and divide by the total bottles (14) to get 9/14.
Probability is a fundamental concept in mathematics that helps us understand the likelihood of an event occurring. In this case, we will explore how to calculate the probability of randomly choosing a lemon-lime or orange flavored sports drink from a cooler containing a total of 14 bottles.
To begin, we need to identify the different flavors of drinks in the cooler:
- 4 lemon-lime flavored bottles
- 5 orange flavored bottles
- 5 fruit-punch flavored bottles
To find the probability of picking a lemon-lime or orange flavored bottle, we first need to determine the total number of favorable outcomes. This means we’ll add together the number of lemon-lime and orange flavored bottles:
Number of lemon-lime and orange bottles = 4 (lemon-lime) + 5 (orange) = 9 favorable outcomes.
Next, we divide the number of favorable outcomes by the total number of outcomes, which is the total number of bottles in the cooler:
Total bottles = 14
So, the probability (P) of randomly choosing either a lemon-lime or orange flavored drink is:
P(lemon-lime or orange) = Number of favorable outcomes / Total outcomes = 9 / 14.
This fraction, 9/14, cannot be simplified further and is already in its simplest form. Understanding how to calculate probability can be very useful in real-world situations. For example, if you’re at a party with different flavored drinks, knowing how to calculate the probability of selecting your preferred flavor can help you make informed choices.
In summary, when calculating probabilities, always start by identifying the total number of favorable outcomes and dividing that by the total number of possible outcomes. This method can be applied to various scenarios, whether dealing with games, surveys, or everyday decisions.
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