IOP2601 ASSIGNMENT 2 SEMESTER 2 2024
DISCLAIMER: THIS IS NOT AN OFFICIAL GUIDE FROM UNISA. THE FRAMEWORK
IS NOT PREPARED NOR APPROVED BY UNISA, RATHER REPRESENTS A POSSIBLE
SOLUTION TO THE TASK CONSISTENT WITH THEORY OF IOP2601. THIS FRAMEWORK
IS ONLY INTENDED TO ASSIST STUDENTS IN GETTING STARTED WITH THEIR
ASSIGNMENT, AND IN NO CASE THIS DOCUMENT SHOULD BE USED FOR CHEATING,
THUS NO STUDENT IS ENCOURAGED TO COPY THIS DOCUMENT, NOR ITS SECTIONS
FOR SUBMISSION. WE BELIEVE THE FRAMEWORK WILL BE A GOOD STARTING POINT
AS IT WAS PREPARED BY OUR TEAM OF PROFESSIONAL PRIVATE TUTORS WHO ARE
EXPERTS IN THE FIELD, AND IT WAS PREPARED USING VARIOUS SOURCES. ANY
SIMILARITY WITH ANY EXISTING THEORY OR DISCUSION BY OTHER AUTHORS IS
EXCUSED. THE AUTHORS HOWEVER DO NOT CLAIM MONOPOLY TO KNOWLEDGE
HENCE MODIFICATION OF THE ANSWERS CONTAINED IN THIS FRAMEWORK MAY
NOT BE PROHIBITED AS IT CONTRIBUTES TO EXPANSION OF KNOWEDGE. FOR ANY
FURTHER GUIDELINE ABOUT THE INFORMATION CONTAINED HERE AND THE
MODULE IN GENERAL, CONTACT PASSMATE TUTORIALS
WE ASSIST WITH OTHER MODULES INCLUDING:
ECSs, FACs, MACs, MNGs, INTs, TRLs, HMEMS, PRMs, PROs, MNBs, DSC, QMI, MNMs,
MNO, MNPs, FIN, PUBs, MNMs, RESEARCH among others
WE OFFER CLASSES, ASSIGNMENT GUIDELINES, EXAMINATION PREPARATION,
RESEARCH AND RESEARCH PROPOSALS, DISSERTATION EDITING etc.
OTHER THAN UNISA, WE ALSO ASSIST STUDENTS AT VARIOUS INSTITUTIONS
INCLUDING MANCOSA, REGENT, REGEYNESES, BOSTON, STADIO, OLG, UJ, UP etc
For any enquiries the following numbers can be used for calling, sms, whatsapp and telegram
CONTACT PASSMATE TUTORIALS @ 061 262 1185/068 053 8213/0717 513 144 or email
, IOP2601 ASSIGNMENT 2 SEMESTER 2 2024
Question 1: Probability Calculation (11 marks)
This question involves determining the probabilities associated with Sonia and Jack winning
the Volunteer of the Year award. Below are the solutions:
1. Probability that Sonia will win first prize
Total nominations = 200
Sonia's nominations = 40
𝑆𝑜𝑛𝑖𝑎′ 𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
Probability = 𝑇𝑜𝑡𝑎𝑙 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
40
P(Sonia wins) = 200 = 0.20
2. Probability that Jack will win first prize
Jack's nominations = 20
Probability = 𝐽𝑎𝑐𝑘′𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 / 𝑇𝑜𝑡𝑎𝑙 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
P (Jack wins) = 20/200 = 0.10
3. If Sonia wins first prize, what is the probability that Jack will win second prize?
After Sonia wins, 200 - 40 = 160 nominations remain.
P (Jack wins second) = 20/160 = 0.125
4. If Jack wins first prize, what is the probability that Sonia will win the second
prize?
After Jack wins, 200 - 20 = 180 nominations remain.
P (Sonia wins second) = 40/180 = 0.22
5. Probability that Sonia and Jack will win first and second prize respectively
DISCLAIMER: THIS IS NOT AN OFFICIAL GUIDE FROM UNISA. THE FRAMEWORK
IS NOT PREPARED NOR APPROVED BY UNISA, RATHER REPRESENTS A POSSIBLE
SOLUTION TO THE TASK CONSISTENT WITH THEORY OF IOP2601. THIS FRAMEWORK
IS ONLY INTENDED TO ASSIST STUDENTS IN GETTING STARTED WITH THEIR
ASSIGNMENT, AND IN NO CASE THIS DOCUMENT SHOULD BE USED FOR CHEATING,
THUS NO STUDENT IS ENCOURAGED TO COPY THIS DOCUMENT, NOR ITS SECTIONS
FOR SUBMISSION. WE BELIEVE THE FRAMEWORK WILL BE A GOOD STARTING POINT
AS IT WAS PREPARED BY OUR TEAM OF PROFESSIONAL PRIVATE TUTORS WHO ARE
EXPERTS IN THE FIELD, AND IT WAS PREPARED USING VARIOUS SOURCES. ANY
SIMILARITY WITH ANY EXISTING THEORY OR DISCUSION BY OTHER AUTHORS IS
EXCUSED. THE AUTHORS HOWEVER DO NOT CLAIM MONOPOLY TO KNOWLEDGE
HENCE MODIFICATION OF THE ANSWERS CONTAINED IN THIS FRAMEWORK MAY
NOT BE PROHIBITED AS IT CONTRIBUTES TO EXPANSION OF KNOWEDGE. FOR ANY
FURTHER GUIDELINE ABOUT THE INFORMATION CONTAINED HERE AND THE
MODULE IN GENERAL, CONTACT PASSMATE TUTORIALS
WE ASSIST WITH OTHER MODULES INCLUDING:
ECSs, FACs, MACs, MNGs, INTs, TRLs, HMEMS, PRMs, PROs, MNBs, DSC, QMI, MNMs,
MNO, MNPs, FIN, PUBs, MNMs, RESEARCH among others
WE OFFER CLASSES, ASSIGNMENT GUIDELINES, EXAMINATION PREPARATION,
RESEARCH AND RESEARCH PROPOSALS, DISSERTATION EDITING etc.
OTHER THAN UNISA, WE ALSO ASSIST STUDENTS AT VARIOUS INSTITUTIONS
INCLUDING MANCOSA, REGENT, REGEYNESES, BOSTON, STADIO, OLG, UJ, UP etc
For any enquiries the following numbers can be used for calling, sms, whatsapp and telegram
CONTACT PASSMATE TUTORIALS @ 061 262 1185/068 053 8213/0717 513 144 or email
, IOP2601 ASSIGNMENT 2 SEMESTER 2 2024
Question 1: Probability Calculation (11 marks)
This question involves determining the probabilities associated with Sonia and Jack winning
the Volunteer of the Year award. Below are the solutions:
1. Probability that Sonia will win first prize
Total nominations = 200
Sonia's nominations = 40
𝑆𝑜𝑛𝑖𝑎′ 𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
Probability = 𝑇𝑜𝑡𝑎𝑙 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
40
P(Sonia wins) = 200 = 0.20
2. Probability that Jack will win first prize
Jack's nominations = 20
Probability = 𝐽𝑎𝑐𝑘′𝑠 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠 / 𝑇𝑜𝑡𝑎𝑙 𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠
P (Jack wins) = 20/200 = 0.10
3. If Sonia wins first prize, what is the probability that Jack will win second prize?
After Sonia wins, 200 - 40 = 160 nominations remain.
P (Jack wins second) = 20/160 = 0.125
4. If Jack wins first prize, what is the probability that Sonia will win the second
prize?
After Jack wins, 200 - 20 = 180 nominations remain.
P (Sonia wins second) = 40/180 = 0.22
5. Probability that Sonia and Jack will win first and second prize respectively
