\"Calculate the probability of being dealt the following poker hand. (Recall tha

Question

"Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. HINT [See Example 3.]

"In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different."

Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. HINTSee ample 3.] Two pairs: Two cards with one denomination, two with another, and one with a third. Example: 3, 3,, Qe, Qw, J

Explanation / Answer

Solution:-

1) The probability of being dealt the two pair in poker hand is 0.047539

This hand has the pattern AABBC where A, B, and C are from distinct kinds.

The number of such hands = 13C2 × 4C2 × 4C2 ×11C1 × 4C1 = 123,552

Total number of combinations of different hands = 52C5 = 2,598,960

Probability of two pairs = 123,552/2,598,960 = 0.047539

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