The whole batch of calculators is rejected either if the first two chosen are both faulty if a third one needs to be chosen and it is faulty. or Calculate the probability that the whole batch is rejected.

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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4.
First
Third
Second
Calculator
Calculator
Calculator
20
F
F
F
NF
NF
F
-F
NF
19
20
F = faulty
NF = not faulty
NF
NF
The tree diagram shows a testing procedure on calculators, taken from a large batch.
Each time a calculator is chosen at random, the probability that it is faulty (F)!
20
1
The whole batch of calculators is rejected
if the first two chosen are both faulty
if a third one needs to be chosen and it is faulty.
either
or
Calculate the probability that the whole batch is rejected.
Transcribed Image Text:4. First Third Second Calculator Calculator Calculator 20 F F F NF NF F -F NF 19 20 F = faulty NF = not faulty NF NF The tree diagram shows a testing procedure on calculators, taken from a large batch. Each time a calculator is chosen at random, the probability that it is faulty (F)! 20 1 The whole batch of calculators is rejected if the first two chosen are both faulty if a third one needs to be chosen and it is faulty. either or Calculate the probability that the whole batch is rejected.
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