Probability Question 2
Question 2 - 24 January - Shift 1
Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements :
(S1) : If $P(A) = 0$, then $A=\phi$
(S2): If $P(A) = 1$, then $A=\Omega$
Then
(1) only (S1) is true
(2) only (S2) is true
(3) both (S1) and (S2) are true
(4) both (S1) and (S2) are false
Show Answer
Answer: (3)
Solution:
Formula: Condition for sure and impossible event
$\Omega=$ sample space
$A=$ be an event
If $P(A)=0 \Rightarrow A=\phi$
If $P(A)=1 \Rightarrow A=\Omega$
Then both statement are true.
