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Three students X, Y and Z, each shoot at a target. The probability of hitting the 1 5 target by X, Y and Z are and respectively. (Correct your answers to 4 decimal places.) (i) Find the probability that all miss the target. (ii) Find the probability that only two students hits the target. (iii) Find the probability that at least one student could hit the target.

Three students X, Y and Z, each shoot at a target. The probability of hitting the 1 5 target by X, Y and Z are and respectively. (Correct your answers to 4 decimal places.) (i) Find the probability that all miss the target. (ii) Find the probability that only two students hits the target. (iii) Find the probability that at least one student could hit the target.

A First Course in Probability (10th Edition)
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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Three students X, Y and Z, each shoot at a target. The probability of hitting the target by X, Y and Z are 3' 7 and respectively. (Correct your answers to 4 decimal places.) (i) Find the probability that all miss the target. (ii) Find the probability that only two students hits the target. (iii) Find the probability that at least one student could hit the target. (iv) If these three students shoot at a target sequentially, what is the probability that only Y could hit the target? (Hint: X shoot first, then Y shoot and finally Z will shoot.)
Transcribed Image Text:Three students X, Y and Z, each shoot at a target. The probability of hitting the target by X, Y and Z are 3' 7 and respectively. (Correct your answers to 4 decimal places.) (i) Find the probability that all miss the target. (ii) Find the probability that only two students hits the target. (iii) Find the probability that at least one student could hit the target. (iv) If these three students shoot at a target sequentially, what is the probability that only Y could hit the target? (Hint: X shoot first, then Y shoot and finally Z will shoot.)
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