# Puzzle | Head Shot

Geek got kidnapped by a gangster. The Gangster puts two bullets in consecutive order in an empty six-round revolver, spins it, points it at her head and shoots. She is still alive.

The Gangster then asked her,

“Do you want me to spin it again and fire **or** pull the trigger again right away?”

**Q. Which option should be preferred? For each option, what is the probability that she’ll be shot?**

**Solution :**

The most important point here to consider is that the bullets were loaded adjacent to each other.

There are 6 ways to arrange the revolver with consecutive bullets. These are the possible scenarios:

(xBBxxx)

(xxBBxx)

(xxxBBx)

(xxxxBB)

(BBxxxx)

(BxxxxB)

But, the first shot went blank and hence the last two possibilities are of no use.

So, now the 4 possible arrangements of the consecutive bullets, considering the first blank attempt are:

(xBBxxx)

(xxBBxx)

(xxxBBx)

(xxxxBB)

Now, looking at the above possibilities, her odds of getting shot are 1/4 or 25%. (case: xBBxxx)

But if he re-spins, there are 2 bullets remaining and 6 total slots i.e. 2/6 or 33%.

So, she should prefer pulling the trigger again right away.