Ram, Shyam and Dev had to catch a train. Probability of catching the train by Ram
is 1/2, by Shyam is 3/4 and by dev is 2/5. What is the probability that only one of them would catch the train?
Answers
Answer:
actually I think that would be 1/2×3/4×2/5 =6/40 means 3/20
Given: Probability of Ram catching the train, Probability of Shyam catching the train
, Probability of Dev catching the train
To find: the probability that only one of them catch the train.
Solution: Find the probability of Ram not catching the train.
Probability of Ram not catching the train is
Find the probability of Shyam not catching the train.
Probability of Shyam not catching the train is
Find the probability of Dev not catching the train.
Probability of Dev not catching the train is
Find the probability that only one of them catch the train.
probability that only one of them catch the train P( only Ram catches the train) + P (only Shaym catches the train) + P( Only Dev catches the train).
Hence, the probability that only one of them catches the train is .