Answer:
Explanation:
Computer languages love this kind of question. You could run it a million times and the computer would bring back an answer in under 10 seconds.
Let us suppose that 4 is the correct answer for all 5 questions.
Run the simulation 1000000 times. There is only 1 answer that is acceptable
select a random number from 1 to 4
do this 5 times
If all five random numbers are 4 then add 1 to counter which keeps track of the number of times 4 was chosen 5 times (it will be pretty small).
End by displaying the number of times 4 was chosen 5 times
Divide by 1 million.
In running the simulation, I described using Delphi it ran the simulation in under 1 second. That is, took the test 1 million times.
I'm going to save this answer and if I can edit the question I'll tell you what I got. If not, I suppose I could put it in a comment.
The experimental answer I got was 993 which is awfully close to 1/1000 which is approximately the theoretical answer. So my simulation that I described will work really well.
The theoretical answer is
1/4 * 1/4 * 1/4 * 1/4 *1/4 = 1 / 1024 So actually 1/1000 (which my simulation nearly got) is really kind of close.
There are other ways of doing this simulation.