What are odds of tire valve stems landing in the same "position" when parked?

Question

Of course, the stems are in permanent positions. I checked the air pressure earlier. Three of the stems were on top, a little to the right. One was on the bottom, a little to the right.

Answer 1

This is like a spinner problem, similar to the "Wheel of Fortune".  Let's assume that the wheel is divided into 360 degrees (we'll assume alignment within one degree).  So imagine four Wheel of Fortune spinners. Spin one of them and see where it stops. Now spin the other three. The odds that one of the other three would end up in the same position is 3/360 = 1/120.  The odds that two end up in the same position as the first are (3/360)(2/360) = 1/21,600.  The odds of all four wheels aligning is (3/360)(2/360)(1/360) = 1/7,776,000.