10.5 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

What is the probability of drawing a 2 from a standard deck of cards?

Back

1/13, since there are 4 twos in a deck of 52 cards.

Front

What is the probability of drawing a 2 and then a 3 without replacement?

Back

4/663, calculated as (4/52) * (4/51).

Front

What is the probability of spinning red on a spinner and picking a red marble from a bag?

Back

1/16, calculated as (1/4 for red on spinner) * (2/8 for red marble).

Front

What is the probability of rolling a die and landing on a 4?

Back

1/6, since there is one 4 on a standard die.

Front

What is the probability of rolling a die and landing on a 4, then rolling again and landing on any even number?

Back

1/12, calculated as (1/6 for 4) * (3/6 for even number).

Front

What does it mean for two events to be independent?

Back

Two events are independent if the occurrence of one does not affect the probability of the other.

Front

What does it mean for two events to be dependent?

Back

Two events are dependent if the occurrence of one event affects the probability of the other event.

Front

If the first card drawn is a 2, what is the probability of drawing a 3 next without replacement?

Back

4/51, since there are still 4 threes left in the deck of 51 cards.