Poker Flush Probability

Problem

Probability that a 5-card hand from a deck with 13 ranks and suits suits is a flush:

P = suits * C(13, 5) / C(13 * suits, 5).

When include_straight_flush is False, subtract the 10 * suits straight flushes from the numerator. Return 0.0 for suits < 1.

Hint

There are 10 straight sequences in 13 ranks: A2345 through 9TJQK.

case 1

in: [4,true]

expected: 0.0019807923169267707

case 2

in: [4,false]

expected: 0.001965401545233478

case 3

in: [2,true]

expected: 0.0391304347826087

case 4

in: [2,false]

expected: 0.03882639100030404

Starter codePython

import math


def poker_flush_probability(suits, include_straight_flush):
    # Your code here
    pass

4 test cases · run your code against them in the editor