Chapter 11, Problem 17E

To determine

To find: the probability that end up with an entire set of the pictures and simulate should have minimum 20 runs.

Explanation of Solution

Estimate the probability that you will end up with a full collection of photographs. There should be at least 20 runs of your simulation.

By using the following steps, we can simulate:

Step 1: The component is an image simulation in one package.

From cereal.

Step 2: there is need to create two random 0-9 digits for simulation. Let 0 and 1 stand for tiger woods, 2-4 for Beckham and 5-9 for Serena.

Step 3: Each experiment consists of five random digits.

Step 4: Whether or not a complete collection of images is the component responsible.

Step 5: There will be performance in the trials in which at least one of each image is simulated. By using random number generators, produce random numbers using the steps below.

Trial Number	Component Outcomes	Trial Outcomes
1	9954	yes
2	54541	no
3	51	yes
4	25145	yes
5	5454	no
6	1585	yes
7	1574	no
8	8412178	no
9	157	no
10	74564	yes

I. As per our needs, add random numbers.

II, depending on random numbers, between 0 and 9

Select the Submit tab. iii.

Let 0 and 1 show the woods of tigers. 2-4 is for Beckham and 5-9 is for Serena. For eg, the first random digit is 9 for Serena, the second random digit is 9 for Serena, the third random digit is 1 for Tiger Woods, the fourth random digit is 3 for Beckham, and the fifth and six random digits are 8 and 9 for Serena, so at least one picture of Serena is taken in trial number 1, so this form of method continues until 10 trials.

Step 6: Simulated probability must be found in the percentage of full images,

  $\begin{array}{c}\text{Pictures = }\frac{\text{total number of success}}{\text{total number of trials}}\times 100\\ =\frac{5}{10}\times 100\\ =50\%\end{array}$

For full images, there is a 50 percent chance.

Step 7: The probability of having a full collection of images is predicted to be 50 percent on the basis of the simulation.