Question

Which of the following is incorrect?

(1) P (A) > 1 (2) 0 ≤ P(A) ≤ 1 (3) P(ϕ) = 0 (4) (4) P (A) + P(A)= 1​

Answer 1

Answer:

type the whole question not only a part of it

Answer 2

Incorrect option among them is option (1).

Explanation:

Probability are the chances or posssibilty of events to occure.

probability is the ratio of the number of favourable outcome to the number of total outcomes. We represent a probability with event E as P(E).

$P(E)=\frac{Number\ of\ favourable\ outcome}{Total\ numbers\ of\ favourable\ outcome}$

Probability of an event lies from 0 to 1 $(0\leq P(E)\leq 1)$ . They can't be greater than 1 or we can say that probability of an event is always less than or equal to 1 $(P(E)\leq 1)$. Probability of an event can be 0 $(P(E)=0)$ .

Sum of all the events will always be equal to 1 $(P(A)+P(B)=1)$.

Hence,

Option (2) is correct because probability of an event lies from 0 to 1 $(0\leq P(E)\leq 1)$.

Option (3) is also correct because probability of an event can be 0 $(P(E)=0)$ .

Option (4) is also correct because sum of all the events will always be equal to 1 $(P(A)+P(B)=1)$.

Option (1) is incorrect because they can't be greater than 1 or we can say that probability of an event is always less than or equal to 1 $(P(E)\leq 1)$.