Relationship between two mutually exclusive outcomes


Discuss the below:

1 When two outcomes are mutually exclusive, they cannot occur together, but one or the other can occur (Privitera, 2015). The simply answer is when two things simply don't exist or happen together. There are many examples of things that are mutually exclusive surrounding people on their everyday lives, one of those examples could be making a turn while driving, turning left and turning right are mutually exclusive which means it is not possible do turn left and right at the same time. While someone can honk their horn, lick their lips, or have their windshield wipers on while turning left, it is impossible to turn left and right at the same time.

2 Probabilities are mutually exclusive when two different outcomes cannot happen at the same time. The probability of two outcomes occurring at the same time are zero. We know that one or the other can occur each time. One example would be flipping a coin, you either will get heads or tails and cannot get both at the same time. Another example would be playing cards, you either get a black or a red card, there is no possibility of getting a red and black card. For two probabilities to be mutually exclusive there are only two options and conclusions that can happen and they can only happen one at a time.

3 In probability, the relationship between two outcomes can be mutually exclusive. According to our book, "Two outcomes (A and B) are mutually exclusive when the two outcomes cannot occur together. The probability of two mutually exclusive outcomes occurring together is 0." (Privitera 2015, page 137). When flipping a coin, it will never land on both heads and tails. The probability that they will occur together is 0 (Privitera, 2015). Another example of two outcomes being mutually exclusive is being in two places at one time. You cannot be at the dollar store and at home at the same time. Two teams cannot both win a football game. Either team A or team B will win. The probability of both teams winning the game is 0.

4 When there are two results that will not or they can't happen together is mutually exclusive probability (Privitera, 2015). In the text the example of the fair coin flip is used. The factor that there is no possibility of getting heads and tails at the same time. The results will be either heads or tails. Another example is dice. When the dice is rolled there is no ability to get two number choices but only one number

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Basic Statistics: Relationship between two mutually exclusive outcomes
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