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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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