The College of Engineering and Astronomy Technology of Rizal Technological University will sponsor anintercollegiate quiz bee. Each contestant will answer 50 questions: 20 in Mathematics, 10 in current events, 15 inScience, and 5 is Social sciences. The quiz master will draw each question randomly. Find the probability that thefirst question will be drawn is abouta. Mathematics:b. Science of Current Events:c. Social Sciences or Mathematics or Current Events:d. Science or Mathematics:e. Neither Science nor Social Sciences:
Question
The College of Engineering and Astronomy Technology of Rizal Technological University will sponsor anintercollegiate quiz bee. Each contestant will answer 50 questions: 20 in Mathematics, 10 in current events, 15 inScience, and 5 is Social sciences. The quiz master will draw each question randomly. Find the probability that thefirst question will be drawn is abouta. Mathematics:b. Science of Current Events:c. Social Sciences or Mathematics or Current Events:d. Science or Mathematics:e. Neither Science nor Social Sciences:
Solution
a. Mathematics: The probability that the first question drawn is about Mathematics is the number of Mathematics questions divided by the total number of questions. So, 20 (Math questions) divided by 50 (Total questions) equals 0.4 or 40%.
b. Science or Current Events: The probability that the first question drawn is about Science or Current Events is the number of Science and Current Events questions divided by the total number of questions. So, (15 (Science questions) + 10 (Current Events questions)) divided by 50 (Total questions) equals 0.5 or 50%.
c. Social Sciences or Mathematics or Current Events: The probability that the first question drawn is about Social Sciences, Mathematics, or Current Events is the number of Social Sciences, Mathematics, and Current Events questions divided by the total number of questions. So, (5 (Social Sciences questions) + 20 (Math questions) + 10 (Current Events questions)) divided by 50 (Total questions) equals 0.7 or 70%.
d. Science or Mathematics: The probability that the first question drawn is about Science or Mathematics is the number of Science and Mathematics questions divided by the total number of questions. So, (15 (Science questions) + 20 (Math questions)) divided by 50 (Total questions) equals 0.7 or 70%.
e. Neither Science nor Social Sciences: The probability that the first question drawn is about neither Science nor Social Sciences is the number of questions that are not about Science or Social Sciences divided by the total number of questions. So, (20 (Math questions) + 10 (Current Events questions)) divided by 50 (Total questions) equals 0.6 or 60%.
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