Unit 11 Probability

Front

What is the probability of event A given event B, denoted as P(A|B)?

Back

P(A|B) = P(A and B) / P(B) - This formula calculates the conditional probability of A occurring given that B has occurred.

Front

Define independent events in probability.

Back

Independent events are two events where the occurrence of one event does not affect the occurrence of the other.

Front

Define dependent events in probability.

Back

Dependent events are two events where the occurrence of one event affects the occurrence of the other.

Front

What is the formula for calculating the probability of not A, denoted as P(not A)?

Back

P(not A) = 1 - P(A) - This formula calculates the probability that event A does not occur.

Front

If a card is drawn from a standard deck of 52 cards, what is the probability of drawing a heart?

Back

P(Heart) = 13/52 = 1/4 - There are 13 hearts in a deck of 52 cards.

Front

What is the probability of drawing two aces in a row without replacement from a deck of cards?

Back

P(Ace 1) * P(Ace 2|Ace 1) = (4/52) * (3/51) = 1/221.

Front

In a class of 30 students, 18 are girls. What is the probability of randomly selecting a girl?

Back

P(Girl) = 18/30 = 3/5.

Front

What is the probability of rolling a sum of 7 with two six-sided dice?

Back

P(Sum = 7) = 6/36 = 1/6 - There are 6 combinations that result in a sum of 7.

Front

If a bag contains 3 red, 2 blue, and 5 green marbles, what is the probability of picking a blue marble?

Back

P(Blue) = 2/10 = 1/5.

Front

What is the probability of selecting a boy from a group of 50 girls and 35 boys?

Back

P(Boy) = 35/(50+35) = 35/85 = 7/17.