. A group of students can be divided into 3 types so that each student is in eactly one of he types. 10% of the students are in the first type, 30% of the students are in the second ype, and the remaining students are in the third type. 90% of the students in the first ype know formula B, 25% of the students in the second type know formula B, and 12% f the students in the third type know formula B. A student is chosen at random from his group. What is the probability this student is in the first type given that this student

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. A group of students can be divided into 3 types so that each student is in eactly one of
the types. 10% of the students are in the first type, 30% of the students are in the second
type, and the remaining students are in the third type. 90% of the students in the first
type know formula B, 25% of the students in the second type know formula B, and 12%
of the students in the third type know formula B. A student is chosen at random from
this group. What is the probability this student is in the first type given that this student
knows formula B?
Transcribed Image Text:1. A group of students can be divided into 3 types so that each student is in eactly one of the types. 10% of the students are in the first type, 30% of the students are in the second type, and the remaining students are in the third type. 90% of the students in the first type know formula B, 25% of the students in the second type know formula B, and 12% of the students in the third type know formula B. A student is chosen at random from this group. What is the probability this student is in the first type given that this student knows formula B?
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