Find the probability of each event. What is the probability of winning a lottery game where the

step 1 We have a lottery game where each number in the winning lottery number is a digit from zero to n

Find the probability of each event. What is the probability...

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Key Concepts

Sample Space

The sample space is the set of all possible outcomes in an experiment. In the lottery game, it consists of all five-digit numbers where each digit ranges from 0 to 9, outlining the complete range of possibilities from which the winning number is drawn.

Uniform Probability Distribution

A uniform probability distribution implies that every outcome in the sample space is equally likely to occur. In this lottery scenario, each five-digit number has an equal chance of being selected as the winning number, leading to a simple calculation of winning probability as the reciprocal of the total number of outcomes.

Probability

Probability quantifies the likelihood of an event, defined as the ratio of favorable outcomes to the total number of possible outcomes. In this lottery context, it is used to determine the chance of a single five-digit number being the winning number.

Counting Principle

The Counting Principle provides a method to calculate the total number of possible outcomes by multiplying the number of choices available for each independent event. Here, since each digit (from 0 to 9) is chosen independently for the five-digit number, the total outcomes are found by multiplying the number of choices for each digit together.

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