contestada

Match the probability formula with the correct probability name.
(a) Probability of the union of two events
(b) Probability of mutually exclusive events
(c) Probability of independent events
(d) Probability of a complement
(i) P(AâªB) = P(A) + P(B)
(ii) P(A') = 1 - P(A)
(iii) P(AâªB) = P(A) + P(B) - P(Aâ©B)
(iv) P(A and B) = P(A)·P(B)

Respuesta :

olasunkanmilesanmi

Answer:

a. independent event  P(AuB)=P(A)+P(B)

b. mutually exclusive event  P(AuB) = P(A) + P(B) - P(AnB)

c.  independent event P(A and B) = P(A).P(B)

d.   complement P(A') = 1 - P(A)

Step-by-step explanation:

a. For two events A and B the union of the two sets is  simply all the elements present in both set. This can be expressed as

P(AuB)=P(A)+P(B)

b. Two events are said to be mutually exclusive if they cannot occur at the same time. i.e no same element must be present in both events at a time. This can be expressed as

P(AuB) = P(A) + P(B) - P(AnB)

c.  event A and event B are said to be independent if the incidence of event A  does not affect the probability of the event B.

This can be expressed as

P(A and B) = P(A).P(B)

d. complement of an event are simply all the occurrence not in he set but in the universal set.

the complement of set A can be expressed as

 P(A') = 1 - P(A)

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