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MAT 250 Week 4 Discussion: Discussion Board 4
Initial post:
LetA be the probability of not wearing glasses and B be the probability of having brown eyes. Suppose both events are independent such that P(A)=0.90 and P(B)=0.70. We want to find what proportion are not wearing glasses or have brown eyes (or both). This means we must find P(A∪B).
In this case, we would use our union formula:
P(A∪B)=P(A)+P(B)−P(A∩B)=0.90+0.70−0.63=0.97
Hence, P(A∪B)=0.97 (try it yourself before proceeding). Please create your own probability of the union example and explain why subtraction is needed in the union formula. In other words, why would it be incorrect to just simply add the probabilities outright? Relate the example to your major.
*Remember to use in-text, and full reference citations in APA format for all content that you bring in from the readings. Your textbook should be your PRIMARY source of information, not an internet search. Feel free to express personal feelings/views/opinions, but also remember to use an academic voice when writing your post and responses. *
Discussions play an integral role in monitoring your course participation throughout the term. You should check back to the weekly discussions multiple times throughout the week to engage in the discussion with your professor and peers. Participation is only counted during the week in which this discussion is assigned. Be sure to appropriately cite any sources you use to support your responses with standard APA citations. Answer the prompt question(s) thoroughly, using at least 150-200 words, and respond to as many of your peers as possible. Note that responses to 2 of your peers are required for full credit. Be sure to answer any additional questions asked by your professor in the discussion threads. Your initial post is due by Day 3 of the current week, and follow up posts to your peers are due on Day 7!