Counting Outcomes

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to do both.

Front

How do you calculate the total number of outcomes when making multiple choices?

Back

Multiply the number of choices for each option together.

Front

If a person can choose from 3 paths to the playground and 5 paths to the picnic area, how many total paths can they take?

Back

15 paths (3 × 5 = 15).

Front

What is a combination in counting outcomes?

Back

A combination is a selection of items where the order does not matter.

Front

What is a permutation in counting outcomes?

Back

A permutation is an arrangement of items where the order does matter.

Front

How many different meals can Simon choose if he has 3 burger options, 2 side options, 4 drink options, and 2 ice cream options?

Back

48 meals (3 × 2 × 4 × 2 = 48).

Front

If Lindsey can choose from 2 pizza sizes, 7 toppings, and 3 crust types, how many different pizzas can she order?

Back

42 pizzas (2 × 7 × 3 = 42).

Front

What is the total number of outfits Jenny can create with 9 skirts, 7 tops, 10 shoes, 2 necklaces, and 5 bracelets?

Back

6,300 outfits (9 × 7 × 10 × 2 × 5 = 6,300).

Front

How many different four-digit PIN numbers can be created using digits 0-9?

Back

10,000 PIN numbers (10 options for each of the 4 digits: 10 × 10 × 10 × 10 = 10,000).

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.