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Ashmit can solve 80% of the problem given in a book and Amisha can solve 70%. What is the probability that at least one of them will solve a problem selected at random from the book?

  • a)
    0.60

  • b)
    0.06

  • c)
    0.94

  • d)
    0.56 

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ashmit can solve 80% of the problem given in a book and Amisha can sol...
Probability that  both Ashmit and Amisha can solve

=0.8×0.7=0.56

Probability that Ashmit  can solve but Amisha not

=0.8×0.3=0.24

Probability that Amisha can solve but Ashmit not 

=0.2×0.7=0.14

so atleast one of them solve the problem

=  0.56+0.24+0.14

=0.94
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Most Upvoted Answer
Ashmit can solve 80% of the problem given in a book and Amisha can sol...
Probability that at least one of them will solve a problem:
To find the probability that at least one of them will solve a problem, we can use the concept of finding the complement probability. The complement of the event "at least one of them will solve a problem" is the event "none of them will solve a problem".

Probability that Ashmit will not solve a problem:
Since Ashmit can solve 80% of the problems, the probability that he will not solve a problem is 1 - 0.8 = 0.2.

Probability that Amisha will not solve a problem:
Similarly, since Amisha can solve 70% of the problems, the probability that she will not solve a problem is 1 - 0.7 = 0.3.

Probability that both Ashmit and Amisha will not solve a problem:
To find the probability that both Ashmit and Amisha will not solve a problem, we can multiply their individual probabilities of not solving a problem. Therefore, the probability that both of them will not solve a problem is 0.2 * 0.3 = 0.06.

Probability that at least one of them will solve a problem:
The probability that at least one of them will solve a problem is equal to 1 minus the probability that both of them will not solve a problem. Therefore, the probability that at least one of them will solve a problem is 1 - 0.06 = 0.94.

So, the correct answer is option 'C' - 0.94.
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Ashmit can solve 80% of the problem given in a book and Amisha can solve 70%. What is the probability that at least one of them will solve a problem selected at random from the book?a)0.60b)0.06c)0.94d)0.56Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ashmit can solve 80% of the problem given in a book and Amisha can solve 70%. What is the probability that at least one of them will solve a problem selected at random from the book?a)0.60b)0.06c)0.94d)0.56Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashmit can solve 80% of the problem given in a book and Amisha can solve 70%. What is the probability that at least one of them will solve a problem selected at random from the book?a)0.60b)0.06c)0.94d)0.56Correct answer is option 'C'. Can you explain this answer?.
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