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. For example, flipping a coin and rolling a die are independent events.

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. For example, drawing cards from a deck without replacement is a dependent event.

Front

How do you calculate the probability of independent events?

Back

To calculate the probability of independent events, multiply the probabilities of each event. For example, P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events?

Back

To calculate the probability of dependent events, use the formula P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

What is the probability of drawing two red cards from a stack of 5 red and 8 blue cards without replacement?

Back

The probability is 5/39.

Front

What is the total number of odd digits?

Back

There are 5 odd digits: 1, 3, 5, 7, and 9.

Front

What is the total number of vowels (not counting Y)?

Back

There are 5 vowels: A, E, I, O, and U.

Front

If a code consists of two different odd digits followed by two vowels, how many total combinations can be formed?

Back

The total combinations can be calculated as: 5 (odd digits) * 4 (remaining odd digits) * 5 (vowels) * 5 (vowels) = 500 combinations.

Front

What is the probability of forming the code 15AE?

Back

The probability is 1/400.

Front

What is the formula for conditional probability?

Back

The formula for conditional probability is P(A|B) = P(A and B) / P(B).