Fundamental Counting Principle

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 many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 × 8 × 2 = 80).

Front

What is the probability of choosing the letter 'm' from the word MATH and then flipping tails?

Back

1/8 (1/4 for 'm' and 1/2 for tails, so 1/4 × 1/2 = 1/8).

Front

What is the probability of selecting one green marble from Bag A and one black marble from Bag B?

Back

3/20 (P(green from A) = 3/12 and P(black from B) = 9/15, so 3/12 × 9/15 = 3/20).

Front

If an ice cream shop offers 3 types of cones and 31 flavors of ice cream, how many choices does a customer have?

Back

93 choices (3 cones × 31 flavors = 93).

Front

What is the probability of flipping tails and rolling a 4?

Back

1/12 (P(tails) = 1/2 and P(4) = 1/6, so 1/2 × 1/6 = 1/12).

Front

Define 'outcome' in probability.

Back

An outcome is a possible result of a probability experiment.

Front

What is a 'sample space'?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What does 'independent events' mean in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another.

Front

What is the formula for calculating the probability of independent events?

Back

P(A and B) = P(A) × P(B).