Conditional Probability Practice

Front

What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A | B), which reads 'the probability of A given B'.

Front

How do you calculate Conditional Probability?

Back

P(A | B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring and P(B) is the probability of event B.

Front

What is the formula for the probability of an event?

Back

The probability of an event A is given by P(A) = Number of favorable outcomes / Total number of outcomes.

Front

If a die is rolled, what is the probability of rolling a number greater than 3?

Back

P(number > 3) = 3/6 = 1/2, since the favorable outcomes are 4, 5, and 6.

Front

What is the probability of rolling a 2 given that the number rolled is greater than 3?

Back

P(2 | number > 3) = 0, because 2 is not greater than 3.

Front

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

Back

P(Ace) = 4/52 = 1/13, since there are 4 Aces in a deck of 52 cards.

Front

What is the probability of drawing an Ace given that the card drawn is a heart?

Back

P(Ace | hearts) = 1/13, since there is 1 Ace of hearts in the 13 hearts.

Front

If a die is rolled, what is the probability of rolling a number less than 5 given that the number rolled is even?

Back

P(less than 5 | even) = 2/3, since the even numbers are 2, 4, and 6, and the favorable outcomes are 2 and 4.

Front

What is the probability of selecting an odd number from the set {1, 2, 3, 4, 5, 6, 7, 8} given that the number is less than 7?

Back

P(odd | less than 7) = 3/6 = 1/2, since the odd numbers less than 7 are 1, 3, and 5.

Front

What is the probability of pulling a King given that the card drawn is a spade?

Back

P(King | spades) = 1/13, since there is 1 King of spades in the 13 spades.