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?

No, you should not spin the revolver.

Step-by-step 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 =

And if you do not spin it, the probability that the bullet will be fired in the next round will be =

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.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560