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In a poker hand, John has a very strong hand and bets 5 dollars.  The probability that Mary has a better hand is .04.  If Mary had a better hand she would raise with probability .9, but with a poorer hand she would only raise with probability .1.  If Mary raises, what is the probability that she has a better hand than John does?
In a poker hand, John has a very strong hand and bets 5 dollars.  The probability that Mary has a better hand is .04.  If Mary had a better hand she would raise with probability .9, but with a poorer hand she would only raise with probability .1.  If Mary raises, what is the probability that she has a better hand than John does?
<ul class="mw-excansopts">
<li>0.27</li>
<li>0.3</li>
<li>0.33</li>
<li>0.35</li>
<li>0.4</li>
</ul>


{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}

Latest revision as of 22:07, 22 June 2024

In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had a better hand she would raise with probability .9, but with a poorer hand she would only raise with probability .1. If Mary raises, what is the probability that she has a better hand than John does?

  • 0.27
  • 0.3
  • 0.33
  • 0.35
  • 0.4

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.