Probability - Independent & Dependent Events

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What are independent events?

Back

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

Front

What are dependent events?

Back

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

Front

How do you calculate the probability of independent events occurring together?

Back

Multiply the probabilities of each independent event: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events occurring together?

Back

Multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).

Front

What is the probability of drawing an orange marble from a box with 5 purple, 3 green, and 2 orange marbles?

Back

P(orange) = 2/10 = 1/5.

Front

What is the probability of drawing a green marble after drawing an orange marble without replacement?

Back

P(green | orange) = 3/9 = 1/3.

Front

What is the probability of spinning an even number on a spinner with numbers 1 to 6?

Back

P(even) = 3/6 = 1/2 or 50%.

Front

If you draw a card from a deck and do not replace it, what type of event is this?

Back

This is a dependent event.

Front

What is the probability of not drawing a lime from a box with 3 limes, 5 grapes, and 2 oranges?

Back

P(NOT lime) = 7/10.