Which of the following event is a certain event?

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Getting a head when a coin is tossed.

Receiving a multiple of 8 when a dice is thrown.

Receiving a number less than seven when a dice is rolled.

Getting a tail when a coin is tossed.

answer is C.

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Detailed Solution

A certain event is one that will definitely occur. That means all the possible outcomes are favourable.
When a coin is tossed, possible outcomes are {Head, Tail}
Getting a head when a coin is tossed, is not a certain event as it is not necessary that every time head will come.
Similarly, getting a tail is also not a certain event as it is not necessary that every time tail will come.
When a dice is rolled, the possible outcomes are {1, 2, 3, 4, 5, 6}.
Receiving a multiple of 8 when a dice is thrown is not a certain event as none of the outcomes of the event is favourable because multiples of 8 are 8, 16, 24, etc which are greater than 6.
Receiving a number less than seven when the dice is rolled has outcomes - {1, 2, 3, 4, 5, 6}. Therefore, it is a certain event as all the outcomes of the event are favourable.

Therefore, 'Receiving a number less than seven when a dice is rolled' is a certain event.

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