In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain distance. It is observed that only 30% of the competitors can do this. If someone is given 5 chances, what is the probability of his winning the prize when he has already missed 4 chances?

In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain distance. It is observed that only 30% of the competitors can do this. If someone is given 5 chances, what is the probability of his winning the prize when he has already missed 4 chances?

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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Question

Determine the expected number and variance of winning in problem

GEOMETRIC DISTRIBUTION
In an amusement fair, a competitor is entitled for a prize if he throws a ring on a peg
from a certain distance. It is observed that only 30% of the competitors can do
this. If someone is given 5 chances, what is the probability of his winning the prize
when he has already missed 4 chances?
Solution:
g (x; p) = p(q)*-1
%3D
X = 5 (total chances)
r = 1 (success at last chance)
f(x = 5) = 0.30(0.70)5-1
%3D
f(x = 5) = 0. 07203
p = 0.30 (succes5)
q = 0.70
Chance of winning at last chance is
7.203%
ILLUSTRATIVE PROBLEM #4

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