Question

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. 0.6
• B. 0.06
• C. 0.94
• D. 0.56

Answer 1

The correct option is C 0.94

Probability that Ashmit and Amisha can solve
$=0.8\times 0.7=0.56$
Probability that Ashmit can solve and Amisha cannot solve
$=0.8\times 0.3=0.24$
Probability that Ashmit cannot solve and Amisha can solve
$=0.2\times 0.7=0.14$
Therefore, probability that at least one of them will solve
$=0.56+0.24+0.14=0.94$