# Question #3a8c6

##### 1 Answer

Find the probability of someone winning for deals 1 through 6 ...

#### Explanation:

Let **winning** deal

Also, note that **Deal #7** MUST be a win if it gets that far.

[Note: **multiply by 2** because **either player** could win]

Now, moving on to the the second deal, this assumes the first deal neither player won.

Continuing for

Finally, since **MUST** be a win for one of the players, this **concludes the game** and the probability of getting to **complement** of the sum of the probabilities for

The table below summarizes the probability distribution and the expected value for D which is equal to approximately 2.5 deals

Hope that helped!