The correct option is C 0.94Probability that Ashmit and Amisha can solve = 0.8 #215;0.7 = 0.56 Probability that Ashmit can solve and Amisha cannot solve ...

Ashmit can so...

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?

0.6

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0.06

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0.94

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0.56

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Solution

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
$= 0.56 + 0.24 + 0.14 = 0.94$

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