Chapter 8: Application Examples

The state lottery

Example

The state you live in has two different numbers lotteries. In the first, you must pick 6 numbers between 1 and 50 in any order. In the second, you have to pick 5 numbers between 1 and 35, but you must pick them in the correct order. Which lottery gives you the better chance of winning?

In the first lottery, your chances of winning with one ticket are one in 50C6:

1. Press b 0 50 @ N 6 e.

0.

50Ç6=

15890700.

Your chances of winning the second lottery with one ticket are one in

35P5:

2.Press 35 @ e 5 e.

Result

Your chances are better in the first lottery.

15890700. 35∏5=

38955840.

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Sharp EL-5250, EL-5230 operation manual 50Ç6= 15890700, 15890700 ∏5= 38955840, State lottery

EL-5230, EL-5250 specifications

The Sharp EL-5250 and EL-5230 are advanced scientific calculators that cater to students, professionals, and anyone in need of a reliable tool for complex calculations. Both models are designed with a blend of functionality, portability, and user-friendliness, making them excellent choices for math and engineering tasks.

The Sharp EL-5250 is equipped with a wide range of features ideal for higher-level calculations. It supports over 500 functions, including trigonometric, exponential, logarithmic, and statistical computations. The calculator also includes built-in memory functions, allowing users to store and recall values effortlessly. The large, easy-to-read LCD display can present multiple lines of data simultaneously, enhancing clarity and reducing the need for repetitive calculations.

On the other hand, the EL-5230, while slightly less advanced, still offers a robust set of functions. This model is particularly well-suited for students in high school or early college, providing essential functionalities for algebra, geometry, and basic statistics. Its 240 functions cover a variety of mathematical disciplines, making it a versatile option for different educational needs.

Both calculators feature Sharp's unique "MathPrint" technology, which is a standout characteristic allowing users to view fractions, square roots, and other expressions in a format more akin to traditional textbook layouts. This technology greatly enhances comprehension and usability, particularly for visual learners.

The calculators are powered by dual power sources, utilizing both solar and battery power, ensuring reliability in diverse environments. The compact and lightweight design of the EL-5250 and EL-5230 makes them highly portable. Users can easily carry them in a backpack or briefcase without added bulk.

Durability is another aspect where Sharp excels. The calculators are built to withstand regular use, featuring a sturdy exterior. Additionally, Sharp provides a protective cover that helps prevent damage during transport, making these calculators a long-term investment for users.

In summary, both the Sharp EL-5250 and EL-5230 deliver exceptional performance with their extensive features and advanced technology. They are perfect for those who require reliable and efficient tools for various mathematical tasks, whether in education or professional settings. With their user-friendly designs and durability, these calculators continue to be reliable companions for anyone working with numbers.