One of the students from a high school will be chosen to attend a statewide meet

Question

One of the students from a high school will be chosen to attend a statewide meeting of high school students. The table shows the composition of the high school. What is the probability that the student chosen is a junior or senior? not a sophomore boy? a junior boy or senior girl? Suppose a sales rep can travel from Boston to Newark by plane, train, or bus, and from Newark to Cincinnati by bus, boat or automobile. Draw a tree diagram to show all possible ways he can travel from Boston to Cincinnati.

Explanation / Answer

Consider the table:

20.

a)

P(J or S) = (297 + 309)/1307 = 0.46365723

b)

P(not (So and Boy)) = 1 - P(So and B) = 1 - 188/1307 = 0.856159143

c)

P(Junior Boy or Senior Girl) = (150 + 166)/1307 = 0.241775057

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B G Total F 178 150 328 So 188 185 373 J 150 147 297 Se 143 166 309 Total 659 648 1307

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