If odds against solving a question by three students are and respectively, then the probability that the question is solved only by one student is
Explanation for the correct option
Step 1: Solve for the individual probabilities
Let the three students be and
Given that odds against solving a question by three students are and respectively
Odds are used to describe the chance of an event occurring.
Odds are defined as (Probability that the event will occur) (Probability that the event will not occur)
Here the odds are against solving a question
(Probability that the student will not solve the question) (Probability that the student will solve the question)
Classical probability is a simple form of probability that has equal odds of something happening.
Probability of an event
Therefore,
The probability that will solve the question
The probability that will solve the question
The probability that will solve the question
Step 2: Solve for the probability that the question is solved only by one student
The probability that the question is solved only by one student
Hence, the correct option is option(C).