Which of the following event is an impossible event?

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Receiving a multiple of 8 when a dice is thrown.

Receiving an odd number when a dice is thrown.

Receiving an even number when a dice is thrown.

Receiving a factor of 8 when a dice is thrown.

answer is D.

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Detailed Solution

An impossible event is an event that cannot happen. That means none of the outcomes is favourable.
Receiving an even number when a dice is thrown is not an impossible event as it has a few favourable outcomes - {2, 4, 6}
Receiving an odd number when a dice is thrown is also not an impossible event as it has a few favourable outcomes - {1, 3, 5}
Receiving a factor of 8 when a dice is thrown is also not an impossible event as it has a few favourable outcomes - {1, 2, 4}
Receiving a multiple of 8 when a dice is thrown is an impossible event as none of the outcomes is favourable as multiples of 8 are 8, 16, 24, etc which are always greater than 6.

Therefore, 'Receiving a multiple of 8 when a dice is thrown.' is the correct response.

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