A group of 200 students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball. (i) Calculate the probability that a student selected at random from the group plays soccer given that he plays basketball. (ii) Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer. (iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.

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A group of 200 students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball.

(i) Calculate the probability that a student selected at random from the group plays soccer given that he plays basketball.

(ii) Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer.

(iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.

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