Question

A box of chocolates contain 5 chocolates with hard centres and 4 with soft centres. Amit takes a chocolate, selected at random, from the box and eats it. Ajay then takes a chocolates, selected at random, from the box. Find the probability that Amit and Ajay both choose a chocolate with a hard centre.

• A. $\frac{5}{9}$
• B. $\frac{4}{9}$
• C. $\frac{3}{18}$
• D. $\frac{5}{18}$

Answer 1

The correct option is D $\frac{5}{18}$

Total chocolates $=9$

Chocolate with hard center $=5$

Chances Amit takes a chocolate with hard center $=\frac{5}{9}$

Chances that Ajay then takes a chocolate with hard center $=4$ out of $8=\frac{4}{8}$

Chances that Amit and Ajay get a chocolate with hard center $=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}$