SME
Grade 10 Math
Sample spaces, the addition rule, permutations and combinations
The main lesson, then each kind of problem it solves.
Sample spaces, the addition rule, permutations and combinations
Main lesson
Mutually exclusive events
Use this for “P(red) = 0.25 and P(blue) = 0.40 for one marble. Find P(red or blue).”
The complement rule
Use this for “The chance of rain is 0.35. What is the chance of no rain?”
Neither event
Use this for “Of 40 students, 22 play soccer, 15 basketball and 8 both. How many play neither, and what is the chance of neither?”
Listing equally likely outcomes
Use this for “Three coins are tossed. What is the chance of exactly two heads?”
Permutations: order matters
Use this for “In how many ways can 8 runners take gold, silver and bronze?”
Combinations: order doesn’t matter
Use this for “In how many ways can a committee of 3 be chosen from 8 people?”
Probability with combinations
Use this for “3 students are picked at random from 5 girls and 4 boys. What is the chance all 3 are girls? Exactly 2?”