Independent vs Dependent Events

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, tossing a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.

Front

What is the probability of drawing a purple chip followed by a black chip from a jar containing 4 white, 5 purple, and 1 black chip?

Back

1/18

Front

What is the probability of tossing heads and rolling a 7 with a number cube?

Back

0

Front

What is the probability of drawing two blue marbles from a bag containing 2 green, 3 yellow, and 5 blue marbles without replacement?

Back

2/9

Front

If a red marble is drawn first and then a blue marble is drawn without replacement, are these events independent or dependent?

Back

Dependent

Front

If Amy picks a card from a deck and does not replace it before picking a second card, are these events independent or dependent?

Back

Dependent

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?

Back

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

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is drawn, it is not put back into the pool for subsequent draws, affecting the probabilities.