Question

The box 1 contains chips numbered 3, 6, 9, 12 and 15. The box 2 contains chips numbered 11, 6, 16, 21 and 26. Two chips, one from each box are drawn at random.

The number written on these chips are multiplied. The probability for the product to be an even number is

• A. $\frac{6}{25}$
• B. $\frac{2}{5}$
• C. $\frac{3}{5}$
• D. $\frac{19}{25}$

Answer 1

The correct option is D $\frac{19}{25}$


Product will be even only when (either both even) or (1st even, 2nd odd) or (IInd even, Ist odd)

So Req. prob. = P(even & even) + P(even & odd) + P(odd & even)

$=(\frac{2}{3}\times \frac{3}{5})+(\frac{2}{5}\times \frac{2}{5})+(\frac{3}{5}\times \frac{3}{5})=\frac{19}{25}$