Question
(a)A committee is composed of a chairperson, a secretary, a treasurer and 2 committee members. Calculate the number of possible committees can be formed if
- (a)A committee is composed of a chairperson, a secretary, a treasurer and 2 committee
members. Calculate the number of possible committees can be formed if they are randomly selected from 35 eligible candidates. [5 marks]
- (b)A survey is conducted last month, to collect the information of students regarding the extra-curricular activities that they have participated in the last semester. From the results, 65% students have participated in sports activities, 70% students have participated in cultural activities. Among the students who have participated in sports activities, 60% of them have participated in cultural activities.
(i)What is the probability that a randomly selected student has participated in sports activities and cultural activities? [4 marks]
(ii)What is the probability that a randomly selected student has participated in sports activities or cultural activities? [4 marks]
(iii)If a randomly selected student has participated in cultural activities, what is the probability that he/she has not participated in sports activities? [4 marks]
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Introduction to Probability
Authors: Mark Daniel Ward, Ellen Gundlach
1st edition
716771098, 978-1319060893, 1319060897, 978-0716771098
