The following table gives some information about a group of 200 college students

Question

The following table gives some information about a group of 200 college students. The rows tell whether or not the student has a car. The columns describe at which mountain the students have a ski pass.

Note: No student has a pass at more than one mountain.

If one student is randomly selected, what is the probability that the following will occur? Round your answers to 3 significant digits*.

(a) The student has a pass at Stowe or Sugarbush.
P(Stowe or Sugarbush) =

(b) The student has a car or a pass to Sugarbush.
P(has a car or a pass at Sugarbush) =

(c) The student has a car or a ski pass somewhere.
P(has a car or has a pass)

...............................................
*Significant Digits: Here are some probabilities expressed to 3 significant digits.
You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.0120      0.00123      0.102      0.350      0.300

  Bolton     Stowe     Smuggler's      Sugarbush      No Pass   Has a Car      18 22 10 20 25 Does not have a Car      24 5 4 22 50

Explanation / Answer

Ans:

a)P(Stowe or Sugarbush) =(27+42)/200=0.345

b)P(has a car or a pass at Sugarbush) =P(has a car)+P(pass at Sugarbush)-P(has a car and pass at Sugarbush)

=(95/200)+(42/200)-(20/200)

=(95+42-20)/200

=117/200

=0.585

c)P(has a car or has a pass)=P(has a car)+P(pass to somewhere)-P(has a car and pass to smoewhere)

=(95/200)+1-(95/200)=1

  Bolton     Stowe     Smuggler's      Sugarbush      No Pass   Total Has a Car      18 22 10 20 25 95 Does not have a Car      24 5 4 22 50 105 Total 42 27 14 42 75 200

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