SOME IMPORTANT EVENTS OF PROBABILITY -
There are some important and useful events of probability has been discussed below
Sure Event –
Suppose we throw a die. Clearly, the upper face of it will always show a number less than 7.
So, getting a number less than 7 is a sure event.
P (getting a number less than 7) = 6/6 = 1
Thus, the probability of a sure event is 1.
Impossible Event –
In a single toss of a die, what is the probability of getting the number 7 ?
Clearly, in tossing a die, 7 will never come up.
So, getting 7 is impossible event.
So, P(getting 7 in a single throw of a die) = -------- = 0
Hence, the probability of an impossible event is 0 (Zero).
Complementary Event –
Let, E be an event and (not E) be an event which occurs only when E does not occur.
The event (not E) is called the complementary event of E
Clearly, P(E) + P(not E) = 1
P(E) = 1 – P(not E)
(i) For any event E, we have 0 < P(E) < 1
(ii) If E is an impossible event, then P(E) = 0
(iii) If E is a sure event, we have P(E) = 1
(iv) P(not E) = 1 – P(E)
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