Percentages and Compound Probability

Front

What is the definition of independent events in probability?

Back

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

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another event.

Front

What is a sample space in probability?

Back

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

Front

How do you calculate the total number of outfit combinations?

Back

Multiply the number of choices for each clothing item. For example, if you have 3 tops, 2 pants, and 2 shoes, the total combinations are 3 x 2 x 2 = 12 outfits.

Front

What is the formula to calculate percentage?

Back

Percentage = (Part / Whole) x 100.

Front

If 12 out of 30 cars finished a race, what percent of the cars finished?

Back

40% (calculated as (12/30) x 100).

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the expected outcomes, while experimental probability is based on actual experiments and outcomes.

Front

What is the probability of drawing a red marble from a bag containing 3 red and 2 blue marbles?

Back

Probability = Number of favorable outcomes / Total outcomes = 3 / 5.

Front

What does it mean if two events are mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time.

Front

How do you find the probability of two independent events occurring together?

Back

Multiply the probabilities of each event. For example, P(A and B) = P(A) x P(B).