In 2021 there will be 3 candidates for the post of Director- Mr. Arun, Mr. Varun, and Mr. Tharun- whose chances of getting the appointment are in the proportion 3: 2: 4 respectively. The probability that Mr. Arun if selected would introduce online-teaching in the college is 0.3. The probabilities of Mr. Varun and Mr. Tharun doing the same are respectively 0.5 and 0.8. (a) What is the probability that there will be online-teaching in the college in 2022? (b) If there is online-teaching in the college in 2022, what is the probability that Mr. Tharun is the Director?
Answers
Answer:
sorry dear i don't know the answer for the question....
Given : In 2021 there will be 3 candidates for the post of Director- Mr. Arun, Mr. Varun, and Mr. Tharun- whose chances of getting the appointment are in the proportion 3: 2: 4 respectively. The probability that Mr. Arun if selected would introduce online-teaching in the college is 0.3. The probabilities of Mr. Varun and Mr. Tharun doing the same are respectively 0.5 and 0.8.
To find : (a) What is the probability that there will be online-teaching in the college in 2022?
(b) If there is online-teaching in the college in 2022, what is the probability that Mr. Tharun is the Director?
Solution:
chances of getting the appointment are in the proportion 3: 2: 4 respectively.
Probability of getting the appointment Mr. Arun, Mr. Varun, and Mr. Tharun are 3/9 , 2/9 , 4/9 respectively.
Online teaching = (3/9)(0.3) + (2/9)0.5 + (4/9)0.8
= (0.9 + 1 + 3.2 )/9
= 4.2/9
= 42/90
= 7/15
7/15 is the probability that there will be online-teaching in the college in 2022
probability that Mr. Tharun is the Director if there is online-teaching in the college in 2022
= (3.2/9)/(7/15)
= 16/21
16/21 is the probability that Mr. Tharun is the Director if there is online-teaching in the college in 2022
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