Question

which of the following statement is not true A) probability of certain event is 1 B) probability of an impossible event is 0 C) if p( E)=0.98 then p(E)=0.2 D) the sum of the portability of all the elementary event of an experiment is 1​

Answer 1

Answer:

Step-by-step explanation:

i) Probability of event E and probability of event not E=P(E)+P(  

E

ˉ

)=1

(ii) Probability of ab event that cannot happen is zero (0), Such an event is called Impossible Events.

(iii) The probability of an event that is certain to happen is 1. Such an event is called sure or certain event.

(iv) The sum of the probabilities of all the elementary events of an experiment is  

i=1

∑

n

​  

P(E  

i

​  

)=1.

(v) The probability of an event is greater than or equal to zero(0), impossible event and less than or equal to 1, sure or certain event.

Answer 2

Find: Choose the incorrect option.

Solution: The incorrect option is C) if p( E)=0.98 then p(E)=0.2

Reasons are:

A) probability of certain event is 1.

Certain event means that the probability of 100% occurrence of an event.

Therefore the probability is 1.

B) probability of an impossible event is 0.

The occurrence of impossible event is 0%. Therefore the probability is 0.

C) if p( E)=0.98 then p(E)=0.2.

P(E)=0.98

P(not E)=1-P(E)

           =1-0.98

           =0.02≠0.2

D) The sum of the portability of all the elementary event of an experiment is 1​.

If we have a tendency to add all the possibilities in an experiment the result's one as a result of the chance is one in every of the listed event from the experiment.

Final answer: C) if p( E)=0.98 then p(E)=0.2

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