Question

if the probability of an event is m then the probability of its complementary event is

Answer 1

Given: The probability of an event is m.

To find The probability of its complimentary event.

Solution:

What do you mean by Probability?

• It is the study of mathematics that is assigned for the phenomenon of the event which is random.
• The value of probability in mathematics varies from 0 to 1.
• To determine the value of one event, we have to determine the total occurrences of the event.

We know that

The probability of the complimentary event+the probability of an event =1

⇒The probability of the complimentary event + m=1

⇒The probability of the complimentary event =1-m

Hence the probability of its complimentary event is 1-m.

Answer 2

If the probability of an event is m then the probability of its complementary event is 1 - m

Given:

Probability of an event is m

To Find:

Probability of the complementary event  

Solution:

Probability of an event  = n(E)/n(S)  

n(E) = number of possible outcome of event

n(S) = number of possible sample space outcome

P(E) + P('not E') = 1

P('not E')  is  complementary event of P(E)

P(E) = m is given

Substitute in P(E) + P('not E') = 1

=> m + P('not E') = 1

=> P('not E') =  1 - m

Probability of complementary event is 1 - m

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