In 5-card poker, played with a standard 52-card deck, 2,598,960 different hands

Question

In 5-card poker, played with a standard 52-card deck, 2,598,960 different hands are possible. If there are 624 different ways a "four-of-a-kind" can be dealt, find the probability of not being dealt a "four-of-a-kind". Express as a fraction,but do not simplify. In 5-card poker, played with a standard 52-card deck, 2,598,960 different hands are possible. If there are 624 different ways a "four-of-a-kind" can be dealt, find the probability of not being dealt a "four-of-a-kind". Express as a fraction,but do not simplify.

Explanation / Answer

It will be (2,598,960-624)/2,598,960
= 2598336/2,598,960

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