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.
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End of analysis. Great!