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Explain why the probability of an event is 1 (or 100%) if and only if the...

Explain why the probability of an event is 1 (or 100%) if and only if the event is certain to occur.

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Answer #1

Probability = no. of favorable outcomes / no. of total outcomes.

Here favourable outcome is event happening

total outcomes are all possibilities related to the event = favorable outcomes + un-favorable outcomes

probability = 1 = no. of favorable outcomes / (no. of favorable outcomes + no. of un-favorable outcomes)

no. of favorable outcomes + no. of un-favorable outcomes = no. of favorable outcomes

no. of un-favorable outcomes = 0

it means there is no possibility for anything other than favorable outcome to happen, which mean event is certain to happen.

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