Explore BrainMass
Share

# Probability of a Flush Draw with an Inside Straight Draw

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Suppose you are playing Texas holdem and you hold the 8 and 9 of hearts. The flop comes the 3 of hearts, the jack of spades and the Queen of hearts. You now have an inside straight draw (needing a 10 for a straight) and a flush draw (needing a heart for a flush).

a) What is the probability that you hit a straight or a flush on the turn?

b) What is the probability that you hit a flush or a straight on either the turn or the river?

© BrainMass Inc. brainmass.com March 22, 2019, 2:09 am ad1c9bdddf
https://brainmass.com/statistics/probability/probability-flush-draw-straight-draw-564975

#### Solution Preview

a) What is the probability that you hit a straight or a flush on the turn?

There are three non-heart 10's in the deck and 9 remaining hearts so there are 12 cards among the remaining 47 unseen cards that can make you either a straight or a flush on the turn. The probability of making one of these hands on the turn is therefore ...

#### Solution Summary

This solution calculates the probability of a hitting flush draw with an inside straight draw in the card game Texas Holdem using established theories of probability. The probability that you hit a flush or a straight is determined. The probability that a flush or straight on either the turn or the river is determined.

\$2.19