Question

Which one of the following events has a probability of 1?

• A. Chances that red ball is chosen from a bag having only red balls
• B. Chances that the topper of the class is a girl in a girl’s school
• C. Chances that a multiple of 6 is an even number
• D. All the options are correct

Answer 1

The correct option is D

All the options are correct

The probability of a certain event is 1.
So, in case of certain event,
$P\left(E\right)=\frac{numberoffavourableoutcomes}{totalnumberofoutcomes}=1$
$\Rightarrow$ Number of favourable outcomes = Total number of outcomes
In the case of choosing a ball from a bag of the red ball, the chosen ball will always be red. Thus the number of possible outcomes will always be equal to the number of favourable outcomes.
In a girls school, it's certain that the topper will always be a girl. Hence the probability, in this case, is also one.
All the multiples of 6 are divisible by 2. Thus, all the multiples of 6 are even numbers. Hence, the probability that a multiple of 6 is an even number is 1.