Lesson · Grade 6 · Mathematics
Theoretical Probability: List Every Outcome
- Grade 6
- Mathematics
- 1 min 15 s
- British Columbia
- BC6-MA-44
To find the probability of rolling a number greater than 4 on a fair die, the video lists all 6 equally likely outcomes, shows that 4 does not count, picks out 5 and 6 as the 2 outcomes we want, and checks that 2 + 4 = 6. It then puts the outcomes we want over all possible outcomes to get 2/6, simplifies that to 1/3, names it a theoretical probability and ends on a one-line recap.
Concept: Theoretical probability: listing all the outcomes
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In one sentence
The question this lesson answers
Imagine rolling a fair die once.
What is the probability of rolling a number greater than 4?
Transcript
What the lesson says
Imagine rolling a fair die once.
What is the probability of rolling a number greater than 4?
First, list all the possible outcomes.
The die can land on 1, 2, 3, 4, 5 or 6.
That is 6 possible outcomes, and on a fair die they are all equally likely.
Which of these outcomes are greater than 4?
4 is not greater than 4, so it does not count.
Only 5 and 6 are greater than 4, so there are 2 outcomes we want.
Check: 2 we want plus 4 we don't want makes 6 outcomes.
Probability is the outcomes we want over all the possible outcomes.
So the probability of rolling greater than 4 is 2 out of 6.
Divide the top and the bottom by 2, and it becomes 1 out of 3.
We found it from the list, with no rolling needed, so it is a theoretical probability.
List all the equally likely outcomes, then put the ones you want over the total.
Curriculum
Where this fits
- British Columbia, Grade 6
Mathematics, Data and probability: single-outcome probability, both theoretical and experimentalBC6-MA-44
Previous: Reading and Drawing a Line GraphNext: Experimental and Theoretical Probability: Flip a Coin, Roll a Die
The outcomes and strands follow the British Columbia curriculum.
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