Class Discussion Discussion point 1 Two events are either dependent or independent. Determine if the scenario involves mutually exclusive events. Find the missing probability. Independent and mutually exclusive do not mean the same thing. Mutually Exclusive Events \(\text{A}\) and \(\text{B}\) ... is the probability that event A will occur given that the event B has already occurred. This is the probability formula for mutually exclusive events. these mutually exclusive events.

(or means add) Mutually Exclusive Events are events which cannot happen in a Students to work through this worksheet, in pairs ideally and their outcomes/discoveries are used to inform the discussion in the next stage of this lesson.) A clear case is the set of results of a single coin toss, which can end in either heads or tails, but not for both. P(King or Queen) = (1/13) + (1/13) = 2/13 In probability theory, two events are mutually exclusive or disjoint if they do not occur at the same time. -Because mutually exclusive events cannot happen together, the probability that both events will happen together is equal to zero. Investigate: We could use a formula to find the probability of 3 or 4. This means events A and B cannot happen together. 2.4 The Partition Theorem (Law of Total Probability) Definition: Events Aand B are mutually exclusive, or disjoint, if A∩B= ∅. This module explains the concept of independent events, where the probability of event A does not have any e ect on the probability of event B, and mutually exclusive events, where events A and B cannot occur at the same time. If A happens, it excludes B from happening, and vice-versa. conditional probability, dependent events, independent events and mutually exclusive events. P(King and Queen) = 0 2. When two events (call them "A" and "B") are Mutually Exclusive it is impossiblefor them to happen together: P(A and B) = 0 "The probability of A and B together equals 0 (impossible)" But, for Mutually Exclusive events, the probability of A orB is the sum of the individual probabilities: P(A or B) = P(A) + P(B) "The probability of A or B equals the probability of A plusthe probability of B" So, we have: 1. A B Ω If Aand B are mutually exclusive, P(A∪B) = P(A)+ P(B). After spinning, it lands in region three or ... Events A and B are mutually exclusive. Non­Mutually Exclusive Events Warm up: What is the probability of rolling a 3 or a 4 with a dice. 1 Independent Events 1) A spinner has an equal chance of landing on each of its eight numbered regions. Two central concepts in probability theory are those of "independence" and of "mutually exclusive" events and their alternatives. Mutually Exclusive Events Probability Rules. The OR of Two Events