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3ExampleAn investigation into sports participation cricket (C) ,Soccer(S) and Volleyball (V) of 240 students at a school yielded thefollowing information:• 13 disabled students cannot participate in any of the sports.• 40 participated in all three sports.• 67 participated in Volleyball (V), but not Cricket (C) orSoccer (S).• 77 participated in Soccer and Volleyball.• 51 participated in Cricket and Soccer.• 154 participated in Volleyball and 120 in Soccer.13Questions1. Draw a Venn-Diagram to illustrate theabove information (let the number that playCricket only be x).2. Show that 30 students play cricket only.3. How many students do not play Soccer?4. What is the probability that a student chosenat random does not play Cricket or Soccer?14Two-Way Table: A travel agent did asurvey amongst his clients as to which typeof holiday they prefer.GameReserveSea Travel TotalMale 450 100 X 700Female 150 150 75 XTotal 600 X X X15Questions1. Complete the two-way table.EVENT A: a person is maleEVENT B: a person prefers a game reserveholiday.2. Are events A and B mutually exclusive?Explain your answer.3. Are events A and B independent? Showthe necessary calculations.16Questions4. If a person is selected at random what isthe probability that the person:• Is not male and prefers traveling holidays.• Prefers game reserve or sea holidays.• Is female or prefers sea holidays?17ExampleIn a game of Lotto 4 numbers are drawn from10 numbers. In how many ways can this bedone if:1. The draw takes place without replacementand where the ordering is important.2. The draw takes place without replacementand where the ordering is not important?3. The draw takes place with replacement?18
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