MA7-WEEK32-MAKING PREDICTIONS WITH PROBABILITY

Making Predictions with Probability

Objectives

Start

What is Probability?

Types of probabilities

Theoretical Probability

Experimental Probability

EXAMPLES

What is Probability?

Types of probabilities

Types of probabilities

Theoretical Probability

Experimental Probability

Subjective Probability

Theoretical Probability

Theoretical Probability

Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a perfect scenario.

Experimental Probability

Experimental Probability

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

EXAMPLES

EXAMPLE 1: Rolling a Dice

If you roll a six-sided die, what is the probability of getting an even number?

Step 3

Step 1

Step 2

Step 4

EXAMPLE 2: Picking a Marble from a Bag

In a bag, there are 5 red marbles and 3 blue marbles. If you pick a marble without looking, what is the probability that it will be blue?

Step 1

Step 2

EXAMPLE 2: Spinning a Spinner

A spinner has 10 equal sections numbered from 1 to 10. What is the probability of landing on a number greater than 7?

P(7>)=3/10

Explanation: There are 3 numbers greater than 7 (8, 9, 10) and 10 possible outcomes in total. So, the probability is 3/10=30%.

P(7>)=(3/10)*100%=30%

FlipCard Quiz

Start

1/5

In a bag, there are 20 balls numbered from 1 to 20. If you pick a ball at random, what is the probability that the number is:

2/5

There are 12 pencils in a box: 5 red, 4 blue, and 3 green. If you pick a pencil at random, what is the probability that it is:

3/5

A dice is rolled. What is the probability of rolling a number less than 4?

4/5

In a deck of 52 cards, what is the probability of drawing a heart?

5/5

There are 12 students in a class, 7 boys and 5 girls. If a student is chosen at random, what is the probability of choosing a girl?

End of the quiz!

HOW DID YOU DO IT?

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7TH-MAKING PREDICTIONS WITH PROBABILITY-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

Experimental Probability: Based on observed data.

MA.7.DP.2 Develop an understanding of probability. Find and compare experimental and theoretical probabilities. MA.7.DP.2.1 Determine the sample space for a simple experiment. MA.7.DP.2.3 Find the theoretical probability of an event related to a simple experiment. MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts. ELA.K12.EE.1.1 Cite evidence to explain and justify reasoning.

Objectives:

• Interpret the likelihood of an event occurring based on probability.

• Compare probabilities of different events.

• Use simulations to find experimental probabilities and compare them to theoretical probabilities.

Theoretical Probability: Based on mathematical calculations.

Subjective Probability: Based on personal belief or judgment.