Calculating Probability
Learn what probability means, how to calculate it, and how to estimate probability using experiments. Letβs get started! π

Video Lesson
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Flashcards
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ποΈ What Is Probability?
- Probability tells us how likely an event is to happen.
- It is written from 0 to 1, or 0% to 100%.
- 0% means impossible and 100% means certain.
ποΈ Calculating Probability
- Probability equals number of desired outcomes Γ· total number of outcomes.
- For example, with 3 red balls out of 10 balls, the probability of red is 3/10 or 30%.
ποΈ Experimental Probability
- Experimental probability is used when the true probability is unknown.
- You repeat an experiment to estimate how likely an event is.
- The more trials you do, the closer it gets to the true probability.
Practice Questions
Test your understanding
If you have a bag with 5 balls, 3 red and 2 blue, what is the probability of drawing a red ball?
Correct! π +10 pointsNot quite right
There are 3 red balls out of 5 total balls. So, the probability of drawing a red ball is or 60%.
A bag contains 12 balls, 3 red and 9 blue. What is the probability of drawing a blue ball?
Correct! π +10 pointsNot quite right
There are 9 blue balls out of 12, so the probability of drawing a blue ball is , which simplifies to or 75%.
A box contains 6 red marbles, 8 green marbles, and 10 blue marbles. What is the probability of drawing a green marble?
Correct! π +20 pointsNot quite right
The total number of marbles is . The probability of drawing a green marble is , which simplifies to .
You roll a fair six-sided die. What is the probability of rolling a number greater than 4?
Correct! π +20 pointsNot quite right
There are two numbers greater than 4 on a six-sided die: 5 and 6. Therefore, the probability is , which simplifies to .
You draw a marble from a bag 500 times, and the results show 150 red marbles, 200 blue marbles, and 150 green marbles. What is the experimental probability of drawing a red marble?
Correct! π +20 pointsNot quite right
The experimental probability of drawing a red marble is . Dividing both the numerator and denominator by 50 gives .
If you flip a fair coin 10 times, does it guarantee that exactly half of the flips will be heads and half tails?
Correct! π +30 pointsNot quite right
The outcome of flipping a fair coin 10 times is random, so there is no guarantee that exactly half of the flips will be heads and half tails. Other outcomes are possible.
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Interactive Activity
Explore the relationship between experimental and theoretical probability
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