Compute Probabilities Involving Permutations and Combinations
-To Play the Lottery $\$ 1$

question 247

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $\$ 1$ for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? 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) \(\frac { 1 } { 5,864,443,200 } ; \frac { 1 } { 58,644,432 }\)

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Definitions:

Improvement Rates

Metrics or percentages indicating the degree of progress or enhancement in performance, quality, or efficiency over a specified time period.

Learning Curves

The graphical representation of the improvement in performing a task or producing a product over time as a result of experience, practice, and increased efficiency.

Learning Curves

Graphical representations that illustrate the improvement in performance or efficiency of a process as it is repeatedly performed.

Labour Needs

The amount and type of workforce required by an organization to achieve its objectives effeciently.