CBSE2026Class Class 10 · Mathematics1 Marks · Long✅ Verified
Assertion (A): If probability of happening of an event is $0.2p$, $p > 0$, then $p$ can't be more than 5.
Reason (R): $P(\overline{E}) = 1 - P(E)$ for an event E.
Choose: (A) Both A and R are true and R is the correct explanation of A. (B) Both A and R are true but R is not the correct explanation of A. (C) A is true but R is false. (D) A is false but R is true.
✅ Answer & Solution
Step 1: Check Assertion. Probability of any event lies between 0 and 1:
$$0\le 0.2p\le 1$$
Step 2: From $0.2p\le 1$ we get $p\le \dfrac{1}{0.2}=5$. So $p$ cannot be more than 5. Assertion is TRUE.
Step 3: Check Reason. $P(\overline{E})=1-P(E)$ is a standard correct result. Reason is TRUE.
Step 4: But the Assertion is proved using the range $0\le P(E)\le 1$, not by using the complement rule. So R does not explain A.
Answer: (B)
