This exercise refers to a poker hand consisting of 5 cards dealt at random from a standard deck of 52 cards. Find the probability of getting the specified hand. (Round your answer to seven decimal places.)
A straight flush (five cards of the same suit that are consecutive in denomination)
The probability of a straight flush is

Step 1 ：We are given a standard deck of 52 cards and we are to find the probability of getting a straight flush hand. A straight flush hand consists of five cards of the same suit that are consecutive in denomination.

Step 2 ：First, we calculate the total number of possible poker hands. A poker hand consists of 5 cards dealt from a standard deck of 52 cards. The total number of possible poker hands is given by the combination formula \(C(n, k) = \frac{n!}{k!(n-k)!}\), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial. Using this formula, we find that the total number of possible poker hands is 2,598,960.

Step 3 ：Next, we calculate the total number of possible straight flush hands. A straight flush is a hand that contains five cards of sequential rank, all of the same suit. There are four suits (hearts, diamonds, clubs, spades), and there are 10 possible sequences for each suit (A-2-3-4-5, 2-3-4-5-6, ..., 10-J-Q-K-A). So, the total number of possible straight flush hands is 4*10 = 40.

Step 4 ：The probability of getting a straight flush is then the ratio of the number of straight flush hands to the total number of poker hands. So, the probability is \(\frac{40}{2,598,960} = 1.5390771693292702e-05\).

Step 5 ：Final Answer: The probability of getting a straight flush is approximately \(\boxed{0.0000153908}\).