Find the probability. A class of 40 students has 10 honor students

jippie771h

jippie771h

Answered question

2021-11-15

Find the probability.
A class of 40 students has 10 honor students and 13 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.

Answer & Explanation

Fachur

Fachur

Beginner2021-11-16Added 17 answers

Introduction:
Given, the class of 40 students has 10 honor students, and 13 athletes
To find the probability of the selected student is an athlete, not an honor student
Explanation:
Given, the class of 40 students has 10 honor students, and 13 athletes
n(S)=40
n(H)=10
n(A)=13
The probability a student is not an honor student is,
=401140
=2940
The probability a student is an athlete, not an honor student is
=740,
To find the probability of the selected student is an athlete, not an honor student
=7402940
=0.24
Final answer:
The probability of the selected student is an athlete, not an honor student is 0.24

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