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The following Venn Diagram shows the results of a teacher survey. A teacher asked her class which

students owned android phones, which owns iPhones, and which had service with AT&T. What is the
probability of randomly selecting a student from the class that owns an Android Phone OR had
service with AT&T.​

The following Venn Diagram shows the results of a teacher survey. A teacher asked-example-1
User Irezwi
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1 Answer

5 votes

Answer:

The probability of randomly selecting a student from the class that

owns an Android Phone OR had service with AT&T is 0.6 ⇒ 1st answer

Explanation:

* Lets explain how to solve the problem

- From the Venn-diagram

* There are 6 students own android only

* There are 5 students own iPhone only

* There are 2 students had service with AT&T only

* There are 7 students did not use any of the three above

* There are 4 students use AT&T service and owned android

* There are 6 students use AT&T service and owned iPhone

- Lets find the number of the students in the class

∵ The number of the student in the class is all The number listed above

∴ The number of the student in the class = 6 + 5 + 2 + 7 + 4 + 6

∴ The number of the student in the class = 30

* There are 30 students in the class

- We want to find the probability of the students who owns an android

or had service with AT&T

∵ The number of the students own Android = 6 + 4 = 10

∵ The number of the students use AT&T service = 6 + 4 + 2= 12

∵ The number of the students use both = 4

∴ The number of the students own Android or use AT&T service =

the number of the students own Android + the number of students

use AT&T - the number of students use both

∴ The number of the students own Android or use AT&T service

= 10 + 12 - 4 = 18

∵ Probability = event / total

∴ Probability of the students own android or use AT&T = 18/30 = 0.6

The probability of randomly selecting a student from the class that

owns an Android Phone OR had service with AT&T is 0.6

User Xithias
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