Finding Probability With Combinations
Calculate finding probability with combinations in Grade 9 math — First, use the combination formula to find the total number of possible groups—this becomes your denominator.
Key Concepts
Property The theoretical probability of an event is $$\frac{\text{\ of favorable outcomes}}{\text{\ of possible outcomes}}$$ Explanation Want to know the chances of a specific group being chosen? First, use the combination formula to find the total number of possible groups—this becomes your denominator. Since you usually want just one specific group (like your three favorite dogs), the number of favorable outcomes is 1. Put that 1 on top, and you've found the probability! Examples An animal shelter has 20 dogs. What's the probability that your 3 favorites, {Jumbo, Fluffy, Max}, are chosen? Total combinations: $ {20}C 3 = 1140$. Probability: $\frac{1}{1140}$. A cook with 18 ingredients picks 4 for a soup. The probability he picks {beans, corn, rice, and carrots} is $\frac{1}{ {18}C 4} = \frac{1}{3060}$.
Common Questions
What is 'Finding Probability With Combinations' in Grade 9 math?
First, use the combination formula to find the total number of possible groups—this becomes your denominator. Since you usually want just one specific group (like your three favorite dogs), the number of favorable outcomes is 1.
How do you solve problems involving 'Finding Probability With Combinations'?
Since you usually want just one specific group (like your three favorite dogs), the number of favorable outcomes is 1. Put that 1 on top, and you've found the probability!.
Why is 'Finding Probability With Combinations' an important Grade 9 math skill?
But awarding gold, silver, and bronze medals is a permutation, because the order they finish in creates a different result.. For this problem, since you just care about the group of marbles, it's a combination.