Conditional Probability Practice

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'.

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.

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

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

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

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

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

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

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

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