7A 4.1.6a Independent and Dependent Probability

Front

What is independent probability?

Back

Independent probability refers to the likelihood of an event occurring that is not affected by the occurrence of another event.

Front

What is dependent probability?

Back

Dependent probability refers to the likelihood of an event occurring that is affected by the occurrence of another event.

Front

If a card is drawn from a deck and not replaced, what type of probability is this?

Back

This is an example of dependent probability.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What is the formula for calculating the probability of two dependent events A and B occurring?

Back

P(A and B) = P(A) * P(B|A) for dependent events.

Front

In a bag with 3 red and 2 blue marbles, what is the probability of drawing a red marble?

Back

P(Red) = 3/5.

Front

If you draw a marble from a bag and do not replace it, how does it affect the probability of the next draw?

Back

The total number of marbles decreases, affecting the probability of the next draw.

Front

What is the probability of drawing a pink Starburst followed by a yellow Starburst from a pack of 3 orange, 6 pink, 1 yellow, and 5 red Starbursts?

Back

1/35.

Front

What is the probability of drawing two tiles of the same color without replacement if there are 10 tiles of different colors?

Back

Depends on the number of tiles of each color; calculate using dependent probability.

Front

What does it mean if two events are independent?

Back

The occurrence of one event does not affect the probability of the other event.