Question

The probability of which of the following events is 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(E)
$=\frac{\text{No of favourable outcomes}}{\text{No. of total possible outcomes}}=1$

$\Rightarrow$
No. of favourable outcomes = No. of possible 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.
So, the correct option is D.