Question

Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding

Answer 1

Given :  Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding.

To find : Which statement is true about whether A and B are independent events?

Solution:

               snowboarded     never  snowboarded           Total

surfed                      36                   12                               48

never surfed           189                  63                             252  

Total                         225                75                             300

A be the event that the person has gone surfing,

and let B be the event that the person has gone snowboarding

P(A)  = 48/300  = 0.16

P ( A | B )  =  36/225  = 0.16

as P ( A | B )  = P(A)   = 0.16  

hence  Events are independent

A and B are independent events because P(A∣B) = P(A) = 0.16

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