To Play the Lottery in a Certain State, a Person $\frac { 1 } { 1,221,759 } ; \frac { 100 } { 1,221,759 }$

question 70

Multiple Choice

To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for eachfive-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormoussum of money is bestowed. What is the probability that a person with one combination of five numbers willwin? What is the probability of winning if 100 different lottery tickets are purchased?

• A) \(\frac { 1 } { 1,221,759 } ; \frac { 100 } { 1,221,759 }\)
• B) \(\frac { 1 } { 146,611,080 } ; \frac { 10 } { 14,661,108 }\)
• C) \(\frac { 1 } { 8,145,060 } ; \frac { 1 } { 814,506 }\)
• D) \(\frac { 1 } { 5,864,443,200 } ; \frac { 1 } { 58,644,432 }\)

---

Definitions:

Given Population

This term pertains to a specific group of individuals, items, or data points that are the focus of a statistical analysis.

Inferential Statistics

The branch of statistics focused on making predictions or inferences about a population based on a sample of data drawn from that population.

Standard Error

A measure that describes the dispersion or variance of sampling distribution of a statistic, most commonly the mean, indicating the precision of an estimate.

Sample Size

The number of observations or entities included in a statistical sample, impacting the study's precision and results.