The Addition Rule & More

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Presentation transcript:

The Addition Rule & More Statistics and Probability

Mutually Exclusive Events If two events “A” and “B” cannot occur at the same time then they are mutually exclusive! It is a known fact that…

A B Venn Diagram Review… Event A: Likes chocolate ice cream Event B: Likes vanilla ice cream

Let’s go back to mutually exclusive A and B aren’t mutually exclusive A B D A and B A or B C and D are mutually exclusive C

Is it or is it not that is the question… Decide if the events are mutually exclusive. Event A: Roll a 3 on a die. Event B: Roll a 4 on a die. Event A: Randomly select a male student Event B: Randomly select a nursing major Event A: Randomly select a blood donor with type O blood Event B: Randomly select a female blood donor.

The Addition Rule The probability that events A or B will occur: For not mutually exclusive events For mutually exclusive events

Examples You select a card from a standard deck. Find the probability that the card is a 4 or an ace.

Examples You roll a die. Find the probability of rolling a number less than three or rolling an odd number.

You Try… A card is selected from a standard deck. Find the probability that the card is a face card or a heart.