What is the probability represented by shaded area in the Venn Diagram below? Single choice
A
Probability of A and not B
B
Probability of not A or not B
C
Probability of A or B
D
Probability of not A and not B
E
Probability of A and B
F
Probability of not A and B
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Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4). Use - for any negatives. ______________________________________________________________________________________________This question is worth 3 + 1 + 1 = 5 marks. A sports club has 200 members, and where each member has the option to participate in the two activities: Swimming (S), Tennis (T). The following information is known: 110 members participate in Swimming. 150 members participate in Tennis. 10 members do not participate in either of the two activities Swimming and Tennis. The values [math: x], [math: y], and [math: z] represent numbers of employees. a. Find the values of [math: x], [math: y], and [math: z]. (3 marks) [math: x] = Answer 1 Question 7[input], [math: y] = Answer 2 Question 7[input] and [math: z] = Answer 3 Question 7[input] b. The number of members that attend either Swimming or Tennis, but not both is Answer 4 Question 7[input] (1 mark) c. A member is selected at random. The probability that they attend both Swimming and Tennis is Answer 5 Question 7[input] (1 mark)
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