Venn Diagram questions

Question 1

• Survey of 100 people shown : 65 run , 48 swim , 60 cycle , 40 run and swim , 30 swim and cycle , 35 run and cycle , 25 do all three
• 1. Draw a Venn diagram to represent this data
• Find the probability of selecting someone who:
• i. Takes none of these as an exercise
• ii. Swims but does not run
• iii. Takes at least two of these types of exercise
• 3. Jason is one of the above group. Given that he runs, find the probability that he swims but does not cycle

Slide 2

Question 2

• A Venn diagram consists of the two option A and B. P(A) = 0.4 , P(B) = 0.5 and P(A∩B) = 0.15
• 1. Find P(A∩B')
• 2. Find P(B∩A')
• 3. Find P(A∪B)

Slide 4