  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  Solution

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)=number of favourable outcomestotal number of outcomes=1 ⇒ 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.   Mathematics

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