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A college with 200 students offers rowing, kayaking, and surfing as activities. Of the students, 8 do all three activities, 30 do rowing and kayaking,

A college with 200 students offers rowing, kayaking, and surfing as activities. Of the students, 8 do all three activities, 30 do rowing and kayaking, 20 do rowing and surfing, 10 do surfing and kayaking but not rowing, 40 do only rowing, 70 do kayaking and 48 do surfing.

a. Sketch a venn diagram to represent the information above.

b. Given that a student does surfing, find the probability that they also do rowing.

c. If a student is chosen at random find the probability they

i. do rowing or kayaking

ii. do rowing or kayaking but not surfing.

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