Chapter 11, Problem 19E

To determine

To find: the probability of getting all right them using minimum 20 trials.

Explanation of Solution

With at least 20 samples,

Step 1

Simulation of one multiple choice of question is the part.

 Step 2

There is required to produce random digits from 0 to 9 for simulation. Let digits 0-7 be the right answers and let 8 and 9 be inaccurate answers.

Step 3

The vector responsible is whether or not all 6 simulated questions are correctly answered and the digits are 0-7.

 Step 4

There is required minimum 20 tests to run the simulation process, and each test consists of 6 random digits. By using random number generators, we produce 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.

Trial Number	Component Outcomes	All Correct
1	545451	no
2	121	no
3	7878745	no
4	545415878	yes
5	545454	no
6	4848	no
7	854854	yes
8	8548	no
9	6514	no
10	457	yes
11	87448	yes
12	8484	no
13	1587	no
14	9545	yes
15	18484	no
16	548	no
17	5683	yes
18	4847	no
19	221515	no
20	1548	no
21	54884	no
22	1548	no
23	151	no

All 6 questions right are: there is required to find simulated likelihood.

  $\begin{array}{c}All6questionsright\left(\%\right)=\frac{totalnumberofsuccess}{totalnumberoftrials}\times 100\\ =\frac{6}{23}\times 100\\ =26\%\end{array}$

On average, 26% of all 6 issues are right.

Step 6

The chance of having all 6 multiple choice questions correct is 26 percent on average, based on the simulation.