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Addition Rules for Probability

Addition Rules for Probability. Two events are mutually exclusive events if they cannot occur at the same time (i.e., they have no outcomes in common). Example 1: Rolling a Die. Determine which events are mutually exclusive and which are not, when a single die is rolled.

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Addition Rules for Probability

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  1. Addition Rules for Probability • Two events are mutually exclusive events if they cannot occur at the same time (i.e., they have no outcomes in common)

  2. Example 1: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. a. Getting an odd number and getting an even number

  3. Example 2: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. b. Getting a 3 and getting an odd number

  4. Example3: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. c. Getting an odd number and getting a number less than 4

  5. Example 4: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. d. Getting a number greater than 4 and getting a number less than 4

  6. Example 5: Everybody’s Working for the Weekend A day of the week is selected at random. Find the probability that it is a weekend day.

  7. Example 6: Pick a Card A single card is drawn at random from an ordinary deck of cards. Find the probability that it is either an ace or a black card.

  8. Example7: Medical Staff In a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females. If a staff person is selected, find the probability that the subject is a nurse or a male. Staff Females Males Total Nurses Physicians Total

  9. Example #7 Two dice are rolled. Find the probability of getting. Sum of 2, 3, 4 Doubles or sum of 5 Doubles or sum of 6 Based on your answers, which of a, b, or c is least likely to occur?

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