Question

python programming

you should use

• While loop
• For loop
• Range()
• Break
• Continue

Here is a quick story about two elephants who live in the Potowatomi Zoo. Every evening the elephants each randomly select one of six sleeping pens to spend the night in. After deciding on which pen, they simultaneously enter the pen from opposite sides. Being slightly vision impaired, they cannot see if the other elephant entered the same pen until it is too late to turn around and go to another pen to spend the night. Thus sometimes they must each spend an uncomfortable night sharing a small sleeping area with another elephant.

After the elephants are asleep the zookeeper randomly picks one of the pens to check. During a break, the zookeeper and the nighttime custodian were talking. The zookeeper told the custodian that 1/3rd of the time when he checks a pen, there's at least one elephant in there, and of the times that there's at least one elephant in the pen, 1/6th of the time the other elephant is in there as well. The custodian said that those percentages cannot be correct, but the zookeeper insisted they are.

Your job is to write a program to simulate this nightly activity 100,000 times to determine if the zookeeper or the custodian is correct. As a simulation, you will program all steps of this process. You are not writing a statistical analysis program to calculate probabilities.

You will report the following statistics.

1. What percentage of the time there is at least one elephant in the pen the zookeeper checks?
2. When there is an elephant in the pen the zookeeper checks, what percentage of time are both elephants in the pen?
3. Based on the results of your simulation, is the zookeeper or the custodian correct? (Use 2% points as the margin of error)

Your results should be displayed as percentages with two decimal places.

After your results are displayed, you will prompt the user to choose to end the program or run the simulation again. That way, whomever the results indicate is wrong, can easily try another simulation to see if the results were a fluke. You can use a simple message such as:

Run the simulation again? (yes or no): 

Answer 1

The full working Code is written here and it is explained with the comments in the program

Python Code:

Code in written form:

import random #to generate random number
def simulate():
error=0.02 #as the error allowed is 2%
oneThird=1/3 #these 3 lines are there to make the range of accepted values
oneThirdLeft=oneThird-error#left range
oneThirdRight=oneThird+error#ending range

oneSixth=1/6
oneSixthLeft=oneSixth-error
oneSixthRight=oneSixth+error
while True:#to run infinite loop
atLeast1=0 #to keep the count
both=0
  
for i in range(100000):
firstElephant=random.randint(1,6) #to give the random number from 1 to 6 both included
secondElephant=random.randint(1,6)
zookeeper=random.randint(1,6)

if firstElephant==zookeeper or secondElephant==zookeeper: #if any one of the pen matches with zookeepers choice ans is correct Hence Or is used
atLeast1=atLeast1 + 1

if firstElephant==zookeeper and secondElephant==zookeeper:#if both the elephant are in same pen as the zookeeper guessed and is useed
both=both + 1

per1=(atLeast1*100)/100000
per2=(both*100)/100000

print("Percentage of time at least 1 elephant is present :%.2f" % per1 ,"%")
print("Percentage of time both elephant are present :%.2f" % per2 , "%")
if (per1>=oneThirdLeft and per2<=oneThirdRight) and (per2>=oneSixthLeft and per2<=oneSixthRight):#this is used to check if the percentage calculated is allowed or not
print("Zookeeper is correct ")
else:
print("Custodian is correct")

run=input("Run the simulation again? (yes or no):")
if run=="no":
break
else:
continue
simulate()

Output :

Note: while copying the code kindly check if the formatting is same as the code in picture or not

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