Kagiso and Precious are friends at Explore and whilst working under pressure, a table is deleted in their SQL database. They are asked about who deleted the table. Kagiso tends to tell the truth 65% of the time while Precious tends to tell the truth 95% of the time.
What is the likelihood that one is lying while the other is truthful?
Answers
Answer:
your answer will be on Google
Given: Kagiso and Precious are friends at Explore and whilst working under pressure, a table is deleted in their SQL database. They are asked about who deleted the table. Kagiso tends to tell the truth 65% of the time while Precious tends to tell the truth 95% of the time.
To find: Likelihood that one is lying while the other is truthful
Solution: Kagiso tells truth 65% of the time.
Therefore, probability of Kagiso speaking the truth = 65/100
= 0.65
Probability of Precious lying
= 1 - Probability of him speaking truth
= 1- 0.65
= 0.35
Precious tells truth 95% of the time.
Therefore, probability of Precious speaking the truth = 95/100
= 0.95
Probability of Precious lying
= 1 - Probability of him speaking truth
= 1- 0.95
= 0.05
The probability of one lying while other telling the truth can be done in two possible ways:
a- Kagiso tells the truth and Precious lies
Probability of Kagiso telling the truth and Precious lying
= Probability of Kagiso telling truth × Probability of Precious lying
= 0.65 × 0.05
= 0.0325
b- Precious tells the truth and Kagiso lies
Probability of Precious telling the truth and Kagiso lying
= Probability of Precious telling truth × Probability of Kagiso lying
= 0.95 × 0.35
= 0.3325
Therefore, probability of one lying while other telling the truth
= Probability of Kagiso tells the truth and Precious lying+ Probability of Precious telling truth and Kagiso lying
= 0.0325+0.3325
= 0.365
Therefore, the likelihood that one is lying and other is telling the truth is 0.365 .