Probability: Mutually Exclusive and Overlapping Events

In probability theory, two events are said to be mutually exclusive if they cannot occur at the same time or simultaneously. If two events are considered mutually exclusive, then the probability of both events occurring at the same time will be zero. Event A: Coin lands on heads. Event B: Same coin lands on tails. Mutually exclusive Non-mutually exclusive Event A: Roll a 6 on a number cube Event B: Roll an even number on a number cube Mutually Exclusive Non-mutually Exclusive Event A: Draw a king from a deck a cards Event B: Draw a 'heart' from a deck of cards Mutually Exclusive Non Mutually Exclusive Event A: Roll a 1 on a number cube Event B: Roll an even number on a number cube Non mutually exclusive Mutually exclusive Event A: Draw a black card from a deck Event B: Draw a red card from a deck Mutually exclusive Non-mutually exclusive Two events are said to be mutually exclusive if they can not occur at the same time. If two events are mutually exclusive, then the probability of both events occurring at the same time is zero. If events A and B are mutually exclusive, then: P(A) or P(B) = P(A) + P(B) P(A) and P(B) = If events are not mutually exclusive, then they are overlapping. If two events are overlapping, then they can both occur at thesame time. If events C and D are overlapping, then: P(C) or P(D) = P(C) + P(D) – P(C and D) where P(C and D) ≠ Mutually Exclusive Answer Yes or NoOverlapping Tell if the following event is mutually exclusiveor overlapping then answer the question. A bag contains 6 red balls numbered 1,2,4,5,8,9 and 4 white balls numbered 3,6,7,10. If a ball is drawn at random, what is the probability the ball is red or odd-numbered? Write Answer as a Fraction Probability Reduce Your AnswerA bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10. If a ball is drawn at random, what is the probability that the ball is red or 10? Answer Yes or NoMutually Exclusive Tell if the following event is mutually exclusiveor overlapping, then answer the question. Overlapping Reduce Your AnswerWrite Answer as a Fraction Probability A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10. If a ball is drawn at random, what is the probability that the ball is white or a multiple of 3? Mutually Exclusive Tell if the following event is mutually exclusiveor overlapping, then answer the question. Answer Yes or NoOverlapping Reduce Your AnswerWrite Answer as a Fraction Probability Mutually Exclusive A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10. If a ball is drawn at random, what is the probability that the ball is red or white? Answer Yes or NoTell if the following event is mutually exclusiveor overlapping, then answer the question. Overlapping Probability |

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