During 600 identical trials of a random experiment

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

During 600 identical trials of a random experiment, event

E

was observed in some of the trials. (i) If the empirical probability of the complement event

E'

is 1, determine how many times event

E

occurred and classify both

E

and

E'

. (ii) Suppose instead that the empirical probability of

E

0.75

. Calculate how many times the complement event

E'

occurred and verify that the probabilities of

E

and

E'

sum to 1. (iii) Using the two situations above, state and prove a general statement about the nature of an event when its empirical probability is (a) 0, and (b) 1.

Related theory

Probability Rules
Probability Foundations
Probability
Probability of single events
Probability (theoretical approach)

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