(i) If A and B are two complementary events then what is the relation

1.	(i) If A and B are two complementary events then what is the relation between P(A) and P(B)?(ii) If the probability of happening an event A is 0.46. What will be the probability of not happening of the event A?
Answer» (i) Two complementary events, taken together, include all the outcomes for an experiment and the sum of the probabilities of all outcomes is 1. P(A) + P(B) = 1 (ii) P(A) = 0.46 Let P(B) be the probability of not happening of event A We know, P(A) + P(B) = 1 P(B) = 1 – P(A) P(B) = 1 – 0.46 P(B) = 0.54 Hence the probability of not happening of event A is 0.54

(i) If A and B are two complementary events then what is the relation between P(A) and P(B)?(ii) If the probability of happening an event A is 0.46. What will be the probability of not happening of the event A?

Answer»

(i) Two complementary events, taken together, include all the outcomes for an experiment and the sum of the probabilities of all outcomes is 1. P(A) + P(B) = 1

(ii) P(A) = 0.46

Let P(B) be the probability of not happening of event A

We know,

P(A) + P(B) = 1

P(B) = 1 – P(A)

P(B) = 1 – 0.46

P(B) = 0.54

Hence the probability of not happening of event A is 0.54

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(i) If A and B are two complementary events then what is the relation between P(A) and P(B)?(ii) If the probability of happening an event A is 0.46. What will be the probability of not happening of the event A?

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