Question

You and your friend are at a shooting range. You ran out of bullets. Your friend still has two bullets left but magically lost his gun. Somehow you both agree to put the two bullets into your six-chambered revolver in successive order, spin the revolver, and then take turns shooting. Your first shot was a blank. You want your friend to shoot a blank too; should you spin the revolver again before you hand it to your friend?

Answer 1

No, you should not spin the revolver.

Explanation:

Your first shot was a blank. You want your friend to shoot a blank too.

So, you should not spin the revolver again before you hand it to your friend.

Because if you spin the revolver, the probability that a bullet will be fired will be =
`(2)/(6)= (1)/(3)`

And if you do not spin it, the probability that the bullet will be fired in the next round will be =
`((1)/(6) )/((4)/(6))=(1)/(4)`

1/6 in the numerator because it will give the probability that next shot will be a bullet.

4/6 in the denominator because it gives the probability that this shot was blank.