Can the following scenario occur? Explain. There are 95 students who play at least one of football, basket ball and baseball. There are 64 football players, 28 basketball players and 29 baseball players. There are 17 students who play both football and basketball, 13 students who play both football and baseball and 12 students who play both basketball and baseball.

Can the following scenario occur? Explain. There are 95 students who play at least one of football, basket ball and baseball. There are 64 football players, 28 basketball players and 29 baseball players. There are 17 students who play both football and basketball, 13 students who play both football and baseball and 12 students who play both basketball and baseball.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hello, can you please help me with at least items d and e? I hope it's also explained well and has calculations if there are. I hope you don't do it in image form for easy copy. NOTE: Can you also not do it like this one: P(all three have disease)===≈P(D1∩D2∩D3)P(D1)·P(D2)·P(D3)(0.049)·(0.023)·(0.078)0.000088 Instead do it more simple like this: c)The probability that none of the three people have Alzheimer's =(1−0.049)*(1−0.023)*(1−0.078)=0.856655=(1-0.049)*(1-0.023)*(1-0.078)=0.856655 The probability that at least one of the individual have Alzheimer's =1−P(none of them have Alzheimers)=1−0.856655=0.143345
I attached an example of how to do the work for the problems. Please solve accordingly.
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is there a shorter way to do this where you don't get decimals in your answer?