**IBDP** **Mathematics**** Question Analysis Topic: Mathematics - Probability**

**Exam Question:**

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest.

**Answer:**

For IBDP Mathematics, you should know:

There are in total **12 **people.

Naturally, the number of possible outcomes of selecting any person would then be 12.

(i) There are **3** extremely **patient** people.

As such, the probability of selecting one of them is 3 / 12 = 1/4.

(ii) There are **6 **extremely **honest **people.

Also, there are **3 **extremely **kind** people.

In total, there are 6 + 3 = 9 people who are **either **extremely honest or kind.

As such, the probability of picking someone either extremely honest or kind is *9/12 = 3/4*.

Work hard for your IBDP Mathematics examination!

End of analysis. Great!