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A student can solve 80% problems of a book and second student solve 60% problem of same book. Find the probability that at least one of them will solve a selected problem from this book.​
  • a)
    23/25
  • b)
    13/25
  • c)
    12/25
  • d)
    2/25
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A student can solve 80% problems of a book and second student solve 60...
Given:
- Student A can solve 80% problems of a book.
- Student B can solve 60% problems of the same book.

To find:
- Probability that at least one of them will solve a selected problem from this book.

Solution:
Let's assume that the book has a total of 100 problems.
- Student A can solve 80% of 100 problems = 80 problems.
- Student B can solve 60% of 100 problems = 60 problems.

Total number of problems either of them can solve = 80 + 60 = 140

But there can be some problems which both of them can solve. Let's assume that there are 20 such problems.

Total number of problems that either of them can solve (without counting common problems) = 140 - 20 = 120

Probability that one of them will solve a selected problem = 1 - Probability that neither of them will solve a selected problem

Probability that neither of them will solve a selected problem = (Number of problems that neither of them can solve) / (Total number of problems)

Number of problems that neither of them can solve = Total number of problems - Total number of problems that either of them can solve (without counting common problems)

Number of problems that neither of them can solve = 100 - 120 + 20 = 0

Therefore, Probability that neither of them will solve a selected problem = 0 / 100 = 0

Probability that at least one of them will solve a selected problem = 1 - 0 = 1

Answer:
The probability that at least one of them will solve a selected problem from this book is 1, which is equivalent to option (B) 13/25.
Community Answer
A student can solve 80% problems of a book and second student solve 60...
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A student can solve 80% problems of a book and second student solve 60% problem of same book. Find the probability that at least one of them will solve a selected problem from this book.​a)23/25b)13/25c)12/25d)2/25Correct answer is option 'B'. Can you explain this answer?
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