Question

Q9: Mr. Osama Al Rawabi , a research consultant recently conducted a survey of the people from 05 countries regarding the level of education and he has published his study as per below:

Country	Post Graduation	Graduation	Higher Secondary	Primary	No Answer
China	7	315	671	506	3
France	69	388	766	309	7
India	161	514	622	227	11
UK	58	207	1240	32	20
USA	84	486	896	87	4

Find out the following probabilities:                                                        (5Q*1M=5 Marks)

1. If you select a person randomly, what is the probability of getting a person from USA.
2. If you select a person randomly, what is the probability of getting a person who has    completed education before graduation?   Do not include those who did not answer.
3. If you select a person randomly, what is the probability of getting a person from France and Graduated?
4. Classical and empirical probability is different. Discuss analytically

e) Critically compare mutually exclusive and non exclusive events in probability

Answer 1

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d.) Probability is simply the possibility of the happening of an event. There are three types of probabilities as you have already mentioned in your question.

1. Classical - There are 'n' number of events and you can find the probability of the happening of an event by applying basic probability formulae. For example - the probability of getting a head in a single toss of a coin is 1/2. This is Classical Probability.
2. Empirical - This type of probability is based on experiments. Say, we want to know that how many times a head will turn up if we toss a coin 1000 times. According to the Traditional approach, the answer should be 500. But according to Empirical approach, we'll first conduct an experiment in which we'll toss a coin 1000 times and then we can draw our answer based on the observations of our experiment

e.) Two events are mutually exclusive if they cannot occur at the same time (i.e., they have no outcomes in common).

Two events are non-mutually exclusive if they have one or more outcomes in common.

If two events are mutually exclusive, it means that they cannot occur at the same time. For example, the two possible outcomes of a coin flip are mutually exclusive; when you flip a coin, it cannot land both heads and tails simultaneously.

And take example of getting one head and two head while tossing two coins, it's a case nof non-mutually exclusive events.

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