175 random people were surveyed at an amusement park and asked if they ride roller coasters and if they play games while at the park. 91 of those surveyed ride roller coasters. 126 of those surveyed play games. 56 of those surveyed ride roller coasters and play games.     a) Construct a Venn diagram illustrating the probability distribution of the outcomes.     b) What is the probability a person at the amusement park does not ride roller coasters nor does he/she play games?

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175 random people were surveyed at an amusement park and asked if they ride roller coasters and if they play games while at the park. 91 of those surveyed ride roller coasters. 126 of those surveyed play games. 56 of those surveyed ride roller coasters and play games.
    a) Construct a Venn diagram illustrating the probability distribution of the outcomes.
    b) What is the probability a person at the amusement park does not ride roller coasters nor does he/she play games?
   

Expert Solution
Step 1

Let R=ride roller coasters

And G=play games

There are 175 random people were surveyed at an amusement park, i.e. n(s)=175.

91 of those surveyed ride roller coasters, i.e. n(R)=91.

126 of those surveyed play games, i.e. n(G)=126.

56 of those surveyed ride roller coasters and play games, n(RG)=56.

 

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