A green and a red die are tossed. what is the probability that a 4 shows
on the green die and a 5 shows on the red die.

1/36

Step-by-step explanation:

The probability of getting green is 1/6

and the probability of getting red is 1/6.

Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.

So it would be;

1/6 times 1/6

= 1/36

The probability that the object will emerge from the + side of this device is 1/2

Step-by-step explanation:

Orienting the magnetic field in a Stern-Gerlach device in some direction(y - direction) perpendicular to the direction of motion of the atoms in the beam, the atoms will emerge in two possible beams, corresponding to ±(1/2)h. The positive sign is usually referred to as spin up in the direction, the negative sign as spin down in the explanation, the separation has always been in the y direction. There can be some other cases where magnetic field may be orientated in x-direction or z-direction.