Consider a game in which a fair coin is flipped an a fair six sided die is rolled. A player wins if the number on the die is smaller than or equal to 2 , or if the coin is a tail and the number on the die is a 6. How many outcomes are there in the sample space and what is the probability That the player loses any particular game?

  • $\begingroup$ There are $6\cdot 2=12$ outcomes (write them out), and each are equally likely. To determine the probability of losing a game, count the number of outcomes that correspond to a loss (you can do this by inspection), and divide by $12$ (the size of the sample space). $\endgroup$ – Math1000 Apr 8 '15 at 15:15

My stab w/ this stuff (which I'm not that good at but preparing for w/ GRE prep)

Probability of getting $\leq 2$ on die: $2/6$

Probability of getting a tail AND a 6 on the die: $1/12$ ($1/2$ for coin toss $\cdot 1/6$ for die roll)

Total probability of win: $2/6 + 1/12 = 5/12$. Thus, probability to lose $= 7/12$.

Someone correct me if I messed that up.

  • $\begingroup$ Thanks for the edits. For my benefit, what is the standard here? I'm used to Stack Exchange which uses 4 spaces for code. $\endgroup$ – kiss-o-matic Apr 8 '15 at 15:30
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    $\begingroup$ Please see this tutorial on how to typeset mathematics on this site. You can use LaTeX or MathML. $\endgroup$ – N. F. Taussig Apr 8 '15 at 15:32
  • $\begingroup$ Cheers. I got some learning to do. :) $\endgroup$ – kiss-o-matic Apr 8 '15 at 16:11

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