Question

There is 80% chance that a problem will be solved by a statistic student and 60% chance that same problem will be solved by a mathematics student. The probability that the problem will be solved is ______.

• A. 0.82
• B. 0.92
• C. 0.2
• D. 0.48

Answer 1

Answer: (B)

0.92

$Let{E}_1,E_{2}be\text{the event of solving problem by statistic student and mathematic student respectively}$
$\text{The problem is being solved in ways}$
$\text{i) Statistic student solve and mathematic did not solve}$
$\text{ii)Statistic student did not solve and mathematic student solve}$
$\text{iii) Statistic student solve and mathematic student solve}$
$\text{Hence required probability=}\frac{80}{100}\times \frac{40}{100}+\frac{20}{100}\times \frac{60}{100}+\frac{80}{100}\times \frac{60}{100}$
$=0.32+0.12+0.48$
$=0.92$