Question

Which of the following pair of events are complementary events with respect to rolling of a die once ?

• A. Getting a '5' or '6' or getting 1, 2, 3 or 4.
• B. Getting an even number or an odd number.
• C. Getting a number divisible by 2 or 3 or getting number 1 or 5.
• D. Getting a number divisible by '1' or getting a number greater than '6'.

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

Getting a '5' or '6' or getting 1, 2, 3 or 4.

B Getting an even number or an odd number.
C

Getting a number divisible by 2 or 3 or getting number 1 or 5.

D

Getting a number divisible by '1' or getting a number greater than '6'.

Two events are said to be complementary if the sum of their probabilities is equal to 1.

Getting '5' or '6' or getting 1, 2, 3 or 4 can not happen together. They are complementary events as the sum of their probabilities is 1.

Similarly, The following are also complementary events.

Getting an even number or an odd number.

Getting a number divisible by 2 or 3 or getting a number 1 or 5

Getting a number divisible by '1' or getting a number greater than '6'.