Independent vs. Dependent Check for Understanding

Front

What is an independent event?

Back

An independent event is an event whose outcome does not affect the outcome of another event.

Front

What is a dependent event?

Back

A dependent event is an event whose outcome is affected by the outcome of another event.

Front

If you pick 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 picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies, not replacing it, and then picking a penny?

Back

2/11

Front

If you pick an earring, replace it, and then pick a second earring, what type of event is this?

Back

This is an independent event.

Front

What is the probability of picking a red sock from a box containing 2 red, 6 white, and 2 black socks, putting it on, and then picking another sock?

Back

This is a dependent event.

Front

Define probability in the context of independent events.

Back

Probability is the measure of the likelihood that an event will occur, and for independent events, the probability of both events occurring is the product of their individual probabilities.

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 difference between replacement and non-replacement in probability?

Back

Replacement means putting the item back before the next selection, making events independent; non-replacement means not putting the item back, making events dependent.

Front

Give an example of independent events in real life.

Back

Flipping a coin and rolling a die are independent events because the outcome of one does not affect the other.