Question

if P(E) equal to 0.03 then what is the probability of not equal to E​

Answer 1

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

P (E) = 0.03

P (E') + P (E) = 1

P (E') + 0.03 = 1

P (E') = 1 - 0.03

Answer :- P (E') = 0.97

Other Formulas and terms related to PROBABILITY: -

• P (E) = $\dfrac {Number \:of\: outcomes\: favourable\: to \:event}{Number \:of\: all \:possible\: outcomes\: of \:the \:event}$
• Sample space is the total number of possible outcomes.
• P (E) + P (E') = 1
• P (E1) + P (E2) +......P (En) = 1
• Probability is always between 0 and 1 or can also be equal to 0 and 1 that is $0 \le P (E)\le 1.$

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Answer 2

Question :-- if P(E) equal to 0.03 then what is the probability of not equal to E ...

Points To Remember :--

• Experiment : It is an operation which can produce some well defined outcomes .

• There are two types of experiments :-

1) Deterministic experiment

2) Random (or probability) experiment

• Deterministic experiment : An experiment whose output (or result) is fixed (or known) is called a deterministic experiment .

• Probability of deterministic experiment is always one, ie; P(E) = 1 .

• Random experiment : An experiment whose outcomes cannot be predicted with certainty is called a random experiment.

• Probability of random experiment varies between 0 to 1, ie; 0 ≤ P(E) ≤ 1 .

• Sample space : the set of all possible outcome of a random experiment is called the sample space for that experiment. It is usually denoted by S.

• Sample point or Event point : Each element of the sample space is called sample point or even point .

• Mathematical or Classical definition of Probability : If S is the sample space then probability of occurrence of an event E is denoted by P(E) and is defined as ;

P(E) = n(E)/n(S)

P(E) = (no. of elements in E)/no. of elements in S)

P(E) = (total no. of favourable outomes)/(total no. of sample points)

• Probability of occurrence of an event always lies between 0 and 1 .

ie; 0 ≤ P(E) ≤ 1 .

• Complement of an event : If S is the sample space for a random experiment and E is an event , then ;

• Complement of the event E is denoted by E' or E° or Ē .

• E' means non occurrence of event E .

• E' occurs if and only if E doesn't occur.

• The probability of non occurrence of an event E is denoted by P(E') .

• Also , If E is an event and E' is the complement of event E , then ;

P(E) + P(E') = 1 .

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♡♡) Given==P(E)=0.03

we have to Find , P(E') = ?

so,,

→ P(E) + P(E') = 1

→ 0.03 + P(E') = 1

→ P(E') = 1 - 0.03

→ P(E') = 0.97

Hence, probability of not equal to E is (0.97) .