Probability of Dependent and Independent Events

Front

What is the probability of drawing an ace after already drawing one ace from a standard deck of 52 cards without replacement?

Back

1/221

Front

What is the probability of drawing a king first and then a heart second from a deck of 52 cards with replacement?

Back

1/52

Front

In a jar with 4 white chips, 5 purple chips, and 1 black chip, what is the probability of drawing a purple chip followed by a black chip without replacement?

Back

1/18

Front

What is the probability of drawing two purple pencils from a basket containing 5 purple and 9 brown pencils without replacement?

Back

10/91

Front

In a box with 5 purple marbles, 3 green marbles, and 2 orange marbles, what is the probability of drawing an orange marble followed by a green marble without replacement?

Back

1/15

Front

Define independent events in probability.

Back

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

Front

Define dependent events in probability.

Back

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

Front

What is the formula for calculating the probability of independent events occurring together?

Back

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

Front

What is the formula for calculating the probability of dependent events occurring together?

Back

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

Front

If the probability of event A is 1/4 and event B is 1/3, what is the probability of both events A and B occurring if they are independent?

Back

1/12