Question Find the probability of being dealt a 5-card hand with no pair in a standard 52-card deck. The probability is $\frac{1,302,540}{2,598,960}$ .

Studdy Solution

STEP 1

Assumptions1. A standard deck of52 cards is used. . The hand dealt is a5-card poker hand.
3. The event is being dealt a hand with no pair.
4. The number of outcomes favorable to is given as1,302,540.
5. The total number of possible outcomes is given as,598,960.

STEP 2

The probability of an event is calculated by dividing the number of outcomes favorable to the event by the total number of possible outcomes. $(E) = \frac{\text{Number of outcomes favorable to}}{\text{Total number of possible outcomes}}$

STEP 3

Now, plug in the given values for the number of outcomes favorable to and the total number of possible outcomes to calculate the probability.
$(E) = \frac{1,302,540}{2,598,960}$

STEP 4

Calculate the probability.
$(E) = \frac{1,302,540}{2,598,960} \approx0.500497$ The probability of being dealt a hand with no pair in a-card poker game is approximately0.500497.

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