There are two groups of subjects one of which consists of 5 science subjects and 3 engineering subjects and the other consists of 3 science subjects and 5 engineering subjects. An unbiased die is cast. If the number 3 or 5 turns up, a subject from the first group is selected at random otherwise a subject is randomly selected from the second group. Find the probability that an engineering subject is selected ultimately.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...
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There are two groups of subjects one of which consists of 5
science subjects and 3 engineering subjects and the other consists
of 3 science subjects and 5 engineering subjects. An unbiased die is
cast. If the number 3 or 5 turns up, a subject from the first group is
selected at random otherwise a subject is randomly selected from
the second group. Find the probability that an engineering subject
is selected ultimately.
Transcribed Image Text:There are two groups of subjects one of which consists of 5 science subjects and 3 engineering subjects and the other consists of 3 science subjects and 5 engineering subjects. An unbiased die is cast. If the number 3 or 5 turns up, a subject from the first group is selected at random otherwise a subject is randomly selected from the second group. Find the probability that an engineering subject is selected ultimately.
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