Independent and Dependent Probability Review

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 you draw a card from a deck and replace it before drawing again, is this independent or dependent?

Back

Independent.

Front

If you draw a card from a deck and do not replace it before drawing again, is this independent or dependent?

Back

Dependent.

Front

What is the probability of drawing a dime from a pocket containing 3 pennies, 2 nickels, 1 quarter, and 4 dimes, then replacing it and drawing a penny?

Back

1/10.

Front

In a bag with 5 striped cubes, 3 dotted cubes, 4 white cubes, and 3 red cubes, what is the probability of drawing a red cube, replacing it, and then drawing a white cube?

Back

Independent event.

Front

What happens to the total number of outcomes when an event is dependent?

Back

The total number of outcomes decreases because one event affects the other.

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).

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), where P(B|A) is the probability of B given A.

Front

If you have 2 violet balls and 4 pink balls, what is the probability of drawing a violet ball first and a pink ball second if the first ball is replaced?

Back

2/9.