
An event that will not occur on any account is called an
A) Impossible event
B) Sure event
C) Exhaustive event
D) Complementary
Answer
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Hint: In order to solve the problem try to read the concept behind all the types of events that can occur in an experiment. First give a look at all the options, compare them and then come to some conclusion.
Complete step-by-step answer:
Definitions of all the listed event
Impossible event: An impossible event is an event that cannot happen. E is an impossible event if and only if P (E) = 0. Example: In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
Sure event: sure event is an event, which always happens. Example : it's a sure event to obtain a number between 1 and 6 when rolling an ordinary die.
Exhaustive event: Two or more events are said to be exhaustive if there is a certain chance of occurrence of at least one of them when they are all considered together. For example, when rolling a six-sided die, the events 1, 2, 3, 4, 5, and 6 are collectively exhaustive.
Complementary: The complement of any event A is the event [not A], i.e. the event that A does not occur.
Hence, an event that will not occur on any account is called an impossible event.
So, option A is the correct option.
Note: In order to solve such types of basic problems, students must remember the basic definitions of all the types of events, some of them are defined above. Also students must keep in mind that probability of impossible events is 0 and the probability of sure events is 1.
Complete step-by-step answer:
Definitions of all the listed event
Impossible event: An impossible event is an event that cannot happen. E is an impossible event if and only if P (E) = 0. Example: In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
Sure event: sure event is an event, which always happens. Example : it's a sure event to obtain a number between 1 and 6 when rolling an ordinary die.
Exhaustive event: Two or more events are said to be exhaustive if there is a certain chance of occurrence of at least one of them when they are all considered together. For example, when rolling a six-sided die, the events 1, 2, 3, 4, 5, and 6 are collectively exhaustive.
Complementary: The complement of any event A is the event [not A], i.e. the event that A does not occur.
Hence, an event that will not occur on any account is called an impossible event.
So, option A is the correct option.
Note: In order to solve such types of basic problems, students must remember the basic definitions of all the types of events, some of them are defined above. Also students must keep in mind that probability of impossible events is 0 and the probability of sure events is 1.
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