In a random experiment of throwing a die, which of the following is a sure event ?
A. Getting a number between 1 and 6
B. Getting an odd number $<7$
C. Getting an even number $<7$
D. Getting a natural number $<7$
✅ Answer & Solution
✅ Correct Answer: D
Step 1: A sure (certain) event is one that happens in every trial, i.e. its probability is 1.
Step 2: The possible outcomes of throwing a die are 1, 2, 3, 4, 5, 6.
Step 3: Check each option:
(A) 'a number between 1 and 6' means 2, 3, 4, 5 — not sure.
(B) odd numbers $<7$ are 1, 3, 5 — not sure.
(C) even numbers $<7$ are 2, 4, 6 — not sure.
(D) natural numbers $<7$ are 1, 2, 3, 4, 5, 6 — this covers every possible outcome.
Step 4: Therefore $P(\text{natural number}<7)=\dfrac{6}{6}=1$, a sure event.
Correct option is (D).
✅ Verified by Super Admin
