Question

A smuggler have 10 capsules in which five are filled with narcotic drug and rest contains the original medicine.All the 10 capsules are mixed in a single box, from which the custom official picked two capsules at random and tested for the presence of narcotic drugs the probability the smuggler will be cought is??​

Answer 1

A smuggler have 10 capsules in which five are filled with narcotic drug and rest contains the original medicine. All the 10 capsules are mixed in a single box, from which the custom official picked two capsules at random and tested for the presence of narcotic drugs the probability that the smuggler will be caught is 0.222 .

• Total number of narcotic drug = 5
• Total number of original medicine = 5

The probability that the picked two capsules at random are narcotic is

                                                        $\frac{5*4}{10*9}$ = 0.222

That's why, the probability that the smuggler will be caught is 0.222 .