Fundamental Counting Principle and Simple Probablity

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m x n ways.

Front

How many different license plate combinations can be made with 3 letters followed by 3 numbers if repetition is allowed?

Back

26 x 26 x 26 x 10 x 10 x 10 = 17,576,000.

Front

What is the formula for calculating the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

If there are 22 runners in a race, how many ways can the top 5 runners be awarded trophies?

Back

22 x 21 x 20 x 19 x 18 = 3,160,080.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event based on the reasoning behind probability. It is what should happen in an ideal situation.

Front

What is the probability of selecting a brown M&M from a bowl containing 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms?

Back

Probability = 2/20.

Front

What does it mean for events to be independent in probability?

Back

Independent events are those whose outcomes do not affect each other. The occurrence of one event does not change the probability of the other.

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from experiments.

Front

How do you calculate the total number of outcomes when rolling two dice?

Back

Total outcomes = 6 (for the first die) x 6 (for the second die) = 36.

Front

What is a sample space in probability?

Back

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