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A survey of 50 high school athletes collected the following data: Team Number of Athletes Field hockey 23 Volleyball 16 Rugby 29 Both rugby and

A survey of 50 high school athletes collected the following data:

Team Number of Athletes

Field hockey 23

Volleyball 16

Rugby 29

Both rugby and field hockey 8

Both rugby and volleyball 9

Both field hockey and volleyball 7

All three teams 6

a) Draw a Venn diagram to illustrate the above data

b) Determine the probability that a randomly selected athlete from this sample will play either rugby or field hockey.

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