Matias is a student of standard 10 in St. Xavier Int. School. He has to study 7 subjects. In the annual exam, the performance of a student in each subject is graded as “G” (good), “M” (moderate) or “B” (bad). If a student gets at least one B or more than 2 M’s or both, s/he can’t get a scholarship next year. If all three grades are equally likely for Matias, what is the probability that he gets a scholarship next year?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Matias is a student of standard 10 in St. Xavier Int. School. He has to study 7 subjects. In the annual exam, the performance of a student in each subject is graded as “G” (good), “M” (moderate) or “B” (bad). If a student gets at least one B or more than 2 M’s or both, s/he can’t get a scholarship next year. If all three grades are equally likely for Matias, what is the probability that he gets a scholarship next year?
Problem 8
Matias is a student of standard 10 in St. Xavier Int. School. He has to study 7 subjects. In the annual exam, the performance of a student in each subject is
graded as "G" (good), "M" (moderate) or "B" (bad). If a student gets at least one B or more than 2 M's or both, s/he can't get a scholarship next year. If all
three grades are equally likely for Matias, what is the probability that he gets a scholarship next year? [4 marks]
Transcribed Image Text:Problem 8 Matias is a student of standard 10 in St. Xavier Int. School. He has to study 7 subjects. In the annual exam, the performance of a student in each subject is graded as "G" (good), "M" (moderate) or "B" (bad). If a student gets at least one B or more than 2 M's or both, s/he can't get a scholarship next year. If all three grades are equally likely for Matias, what is the probability that he gets a scholarship next year? [4 marks]
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