BC Education - Mathematics 8 Appendix F Number(Patterns and Relations)

Technology Education IRP Appendix F: Illustrative Examples
Mathematics 8

STATISTICS AND PROBABILITY (Chance and Uncertainty)

In order to prepare students to compare theoretical and experimental probability of independent events, it is expected that students will:

Prescribed Learning Outcomes Illustrative Examples

use various data-collection techniques (including computers) to simulate and solve probability problems

Draw vertical lines on large chart paper exactly two toothpick-lengths apart. Toss 100 toothpicks randomly. Record any toothpick that touches a line as a "hit." Calculate the ratio between the number of tosses and the number of hits. Compare results. As more trials are attempted, the outcome will converge on p. Experiment with differing spaces between the lines as well as with different sticks.

A soft-drink company placed a lucky liner in the caps of half their one-litre bottles. Derek said he bought five bottles and they all had lucky liners. How could you use computer-generated random numbers to simulate the situation and find the probability of getting the five lucky liners?

What is the probability of having exactly two boys in a family of five children? Design a simulation, using coins to answer the question.

recognize that if n events are equally likely, the probability of any one of them occurring is

If you toss one standard die, what are the possible events? Are they equally likely? Explain. Write the probability of rolling a 4. If you did the same experiment with a 12-sided die, what would be the probability of rolling a 4?

If you draw a card from a deck, what suit could it be? Are all suits equally likely? What is the probability of drawing a heart?

Bruce is writing a multiple-choice test. There are four possible answers to a question. What is the probability of getting the right answer if he guesses? How does the probability change if Bruce can eliminate two wrong answers?

Revised: September 1, 2001

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use various data-collection techniques (including computers) to simulate and solve probability problems			Draw vertical lines on large chart paper exactly two toothpick-lengths apart. Toss 100 toothpicks randomly. Record any toothpick that touches a line as a "hit." Calculate the ratio between the number of tosses and the number of hits. Compare results. As more trials are attempted, the outcome will converge on p. Experiment with differing spaces between the lines as well as with different sticks.
			A soft-drink company placed a lucky liner in the caps of half their one-litre bottles. Derek said he bought five bottles and they all had lucky liners. How could you use computer-generated random numbers to simulate the situation and find the probability of getting the five lucky liners?
			What is the probability of having exactly two boys in a family of five children? Design a simulation, using coins to answer the question.
recognize that if n events are equally likely, the probability of any one of them occurring is			If you toss one standard die, what are the possible events? Are they equally likely? Explain. Write the probability of rolling a 4. If you did the same experiment with a 12-sided die, what would be the probability of rolling a 4?
			If you draw a card from a deck, what suit could it be? Are all suits equally likely? What is the probability of drawing a heart?
			Bruce is writing a multiple-choice test. There are four possible answers to a question. What is the probability of getting the right answer if he guesses? How does the probability change if Bruce can eliminate two wrong answers?