Chapter 11, Problem 21E

(a)

To determine

To find: the proportion of the time expect to success.

Explanation of Solution

There is details in the lottery about the bat. As a winning number, there is required to take a single digit from 0 to 9 and there is required to select a single value to bet 1 and there is required to keep playing it over and over again.

The proportion of the time that we intend to win is as follows:

Supposing, there is bet random number 0-9 on the 1 number from the single digits and there is required to win the lottery, so there is required to run at least 100 trials to see how many times the lottery is won.

Randomly, if pick a winning number and we take 100 tests. By using random number generators, it produces random numbers using the following steps:

1) As per our needs, add random numbers.

2) Depending on random numbers, between 0 and 9

3) Press the Submit key.

1	5	8	7	4
5	4	4	5	5
2	5	8	6	4
6	6	9	6	6
8	8	5	8	8
4	8	7	4	0
6	1	6	6	1
5	9	5	1	5
8	1	5	8	1
8	8	8	8	8
2	1	7	9	2
5	0	5	5	8
5	5	5	1	8
5	1	4	7	8
8	4	7	4	8
6	9	5	1	8
5	8	5	7	7
4	6	4	4	7
5	8	5	7	5
8	8	7	8	8

  $\begin{array}{c}Beatthelottery=\frac{totalnumberofwin1number}{total\text{}number\text{}of\text{}trials}\\ =\frac{10}{100}\times 100\\ =10\%\end{array}$

Step 2

10 is the outcome of the number 1 draw to win the lottery.

(b)

To determine

To Explain: that expected better outcomes if picked a luckier number as 7.

Explanation of Solution

If choose a luckier number like 7, it will predict the same outcome, since it can win the very same rate at any number