The following information represents the possible types of fog thay might occur
ID: 2956528 • Letter: T
Question
The following information represents the possible types of fog thay might occur on a day that is known to have fog of some kind:Thin ribbons of fog: 0.05
light misty fog 0.22
common fog 0.60
thick fog 0.10
smoky green fog 0.03
Note that each type of fog is supplied with a probability, and the types of fog are mutually exclusive. Mr. Green will stay home from work on a day with fog if any of the following occur: common fog, thick fog smoky green fog.
Mr. Blue will go to work on a day with fog if any of the following occur: thin ribbons of fog, light misty fog, common fog.
A) Calculate the probability that Mr. Blue will not go to work
B) Calculate the probability that Mr. Green will stay home and that also Mr. Blue will not go to work.
C) Calculate the probability that both of them will go to work.
Explanation / Answer
A. add the probability of each of the fogs together that Mr. Blue will go to work: .05 + .22 + .6 = .87 Take the complement 1- .87 = .13 Answer .13 B. Green stays at home for the last three fog types. Blue goes to work during the first three types of fog. The types of fog that cause both men to stay at home are the last two. Add the probabilities. .1 + .03 =.13 Answer: .13 C. They will both go to work during the first two types of fog. Add the probabilities .05 + .22 = .27 Answer .27 Note: You can only add probabilities in this manner if the events are mutually exclusive.
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