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Hey there! Have you ever wondered what the chances are of flipping heads on a coin, or rolling a six on a die? Today, we are going to explore how math helps us predict the future!
Probability is simply a measure of how likely something is to happen. We write it as a fraction, comparing the number of successful outcomes we want to the total number of possible outcomes.
Let's look at a coin flip! Since a coin has 2 sides (Heads and Tails), there are 2 total possible outcomes. The chance of getting Heads is 1 out of 2, which we write as the fraction 1/2.
Think of probability as a scale from 0 to 1. An event with a probability of 0 is absolutely impossible (like a pig flying), while an event with a probability of 1 is absolutely certain (like the sun rising tomorrow)!
You have a bag containing 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of randomly picking a blue marble from the bag?
- Find the total number of possible outcomes by adding all the marbles together: 3 (red) + 2 (blue) + 5 (green) = 10 total marbles.
- Identify the number of successful outcomes, which is the number of blue marbles: 2 blue marbles.
- Write this as a fraction: Number of blue marbles / Total marbles = 2/10.
- Simplify the fraction to its lowest terms by dividing the numerator and the denominator by their greatest common factor, which is 2. 2/10 simplifies to 1/5.