Patterns and Probability

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event, branching out like a tree.

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 × n' ways.

Front

What is the probability of rolling a die and getting a number less than 6?

Back

The probability is 5/6, since there are 5 favorable outcomes (1, 2, 3, 4, 5) out of 6 possible outcomes.

Front

What is the probability of flipping a coin and getting tails?

Back

The probability is 1/2, since there are 2 possible outcomes (heads or tails) and only 1 favorable outcome (tails).

Front

How do you find the probability of an event?

Back

To find the probability of an event, divide the number of favorable outcomes by the total number of possible outcomes.

Front

What is a pattern in mathematics?

Back

A pattern is a sequence or arrangement that follows a specific rule or formula.

Front

What is the next number in the pattern: 2, 4, 6, __?

Back

The next number is 8, as the pattern increases by 2.

Front

What is the probability of picking a quarter from a bag with 5 quarters, 2 dimes, and 4 pennies?

Back

The probability is 5/11, since there are 5 quarters out of a total of 11 coins.

Front

What does it mean if an event is certain?

Back

If an event is certain, it has a probability of 1, meaning it will definitely happen.