A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? a) 1/30 = 0.03 or 3% b) 3/(30+30+30) = 3/90 = 0.33 or 33% c) 3/(30*30*30) = 3/27000 = 0.0001 or 0.01% d) 1/(30*30*30) = 1/27000 = 0.00003 or 0.003%

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? a) 1/30 = 0.03 or 3% b) 3/(30+30+30) = 3/90 = 0.33 or 33% c) 3/(303030) = 3/27000 = 0.0001 or 0.01% d) 1/(303030) = 1/27000 = 0.00003 or 0.003%

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

a) 1/30 = 0.03 or 3%

b) 3/(30+30+30) = 3/90 = 0.33 or 33%

c) 3/(30*30*30) = 3/27000 = 0.0001 or 0.01%

d) 1/(30*30*30) = 1/27000 = 0.00003 or 0.003%

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