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IOP2601 ASSIGNEMNT 2 SEMESTER 2 2024
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IOP2601 ASSIGNMENT 2 SEMESTER 2 2024DISCLAIMER: 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,
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, 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
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