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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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