Have Fridays homework out 10.3 ~ Notes Packet Have Fridays homework out

Mutually Exclusive Two outcomes or events that cannot both happen. Examples: Winning and loosing the exact same soccer game Rolling two and three with one die on one roll

Venn Diagrams A tool that uses overlapping circles to organize non-mutually exclusive events

Addition Rule for Mutually Exclusive Events If 𝑛 1 , 𝑛 2 , 𝑛 3 , and so on, represent mutually exclusive events, then the probability that any event in this collection of mutually exclusive events will occur is the sum of the probabilities of the individual events. 𝑃 𝑛 1 or 𝑛 2 or 𝑛 3 or… = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 3 +…

General Addition Rule 𝑃 𝑛 1 𝑜𝑟 𝑛 2 = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 1 and 𝑛 2 If 𝑛 1 and 𝑛 2 represent event 1 and event 2, then the probability that at least one of the events will occur can be found by adding the probabilities of the events and subtracting the probability that both will occur. 𝑃 𝑛 1 𝑜𝑟 𝑛 2 = 𝑃 𝑛 1 + 𝑃 𝑛 2 + 𝑃 𝑛 1 and 𝑛 2

Example In a class of 30 students, 19 study Physics, 17 study Chemistry and 15 study both of these subjects. Display this information on a Venn diagram and determine the probability that a randomly selected class member studies: both subjects                                                         at least one of the subjects Physics, but not Chemistry Exactly one of the subjects         Neither subject