Probability Review 2

Front

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

Back

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

Front

How do you calculate the probability of choosing a specific color from a set of colored items?

Back

Count the number of items of the specific color and divide by the total number of items.

Front

What is the probability of selecting a student who plays both an instrument and a sport if 2 out of 5 students do so?

Back

The probability is 2/5.

Front

How do you determine conditional probability, such as the probability of being a boy given that the person speaks German?

Back

Use the formula: P(A|B) = P(A and B) / P(B), where A is the event of interest and B is the condition.

Front

What is the total number of different combinations of ice cream sundaes that can be made with 10 flavors, 4 syrups, and 6 toppings if each sundae has 2 flavors, 2 syrups, and 3 toppings?

Back

The total combinations are calculated as: C(10,2) * C(4,2) * C(6,3) = 5400.

Front

What does it mean to spin a spinner multiple times in probability?

Back

Each spin is an independent event, and the total probability of multiple events is the product of the individual probabilities.

Front

How do you calculate the probability of multiple independent events occurring, such as spinning a red, odd number, and a 3?

Back

Multiply the probabilities of each individual event: P(red) * P(odd) * P(3).

Front

What is the significance of the total number of outcomes in probability calculations?

Back

The total number of outcomes provides the denominator in probability calculations, representing all possible results.

Front

What is a favorable outcome in the context of probability?

Back

A favorable outcome is the specific result or results that fulfill the condition of the event being measured.

Front

How can you express probability as a fraction, decimal, and percentage?

Back

Probability can be expressed as a fraction (e.g., 1/4), a decimal (e.g., 0.25), or a percentage (e.g., 25%).