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a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee by selecting 3 Math teachers at random. If Mr. Quilang, Ms, Romero, and Ms. Sorrosa are among the group of 10 Math teachers, what is the probability that all three of them will be part of the committee?

a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee by selecting 3 Math teachers at random. If Mr. Quilang, Ms, Romero, and Ms. Sorrosa are among the group of 10 Math teachers, what is the probability that all three of them will be part of the committee?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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TOPIC :PROBABILITY

1. Analyze and Solve the following problems. a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee by selecting 3 Math teachers at random. If Mr. Quilang, Ms, Romero, and Ms. Sorrosa are among the group of 10 Math teachers, what is the probability that all three of them will be part of the committee? b)Compute the probability of randomly drawing five cards and getting 3 Aces and 2 Kings. c)A Math class consists of 14 girls and 15 boys. The teacher likes to have the students come to the board to demonstrate how to solve some of the Math problems. During a lesson, the teacher randomly selects 6 of the students to show their work. What is the probability that all 6 of the students selected are girls? d)A high school is planning to come up a musical story. There are 20 singers auditioning for the musical. The director is looking for two singers who could sing a good duet. What is the probability that Alex and Toni are the two singers who are selected by the director?
Transcribed Image Text:1. Analyze and Solve the following problems. a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee by selecting 3 Math teachers at random. If Mr. Quilang, Ms, Romero, and Ms. Sorrosa are among the group of 10 Math teachers, what is the probability that all three of them will be part of the committee? b)Compute the probability of randomly drawing five cards and getting 3 Aces and 2 Kings. c)A Math class consists of 14 girls and 15 boys. The teacher likes to have the students come to the board to demonstrate how to solve some of the Math problems. During a lesson, the teacher randomly selects 6 of the students to show their work. What is the probability that all 6 of the students selected are girls? d)A high school is planning to come up a musical story. There are 20 singers auditioning for the musical. The director is looking for two singers who could sing a good duet. What is the probability that Alex and Toni are the two singers who are selected by the director?
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