5.3 Multiplication Rule and Conditional Probability

Question 1

If two events don’t depend on each other or the two events are not independent: Eat McD and get a good grade *multiplication

Answer 1

Independent event: P(B and A)=P(B)P(A)

Question 2

Two events that depend on each other: study more and get a good grade *multiplication. P(BlA) is “the probability of B given A”

Answer 2

dependent event: P(A and B)= P(A)*P(BlA)

Question 3

conditional probability

Answer 3

a probability that is computed with the knowledge of additional information. the conditional probability of an event B given an event A is denoted P(BlA). The probability is computed as P(BlA)=P(A and B)/P(A)

Question 4

general multiplication rule

Answer 4

P(A and B)=P(A)*P(BlA)

Question 5

“at least once” probabilities

Answer 5

find the probability that it does not occur at all and subtract from 1. the complement of “at least one even occurs” is “no events occur”.