Last Problem:
A girl throws four balls randomly into any or all of four boxes. She always succeeds in getting the ball into one of the four boxes. But of course, it is possible that some boxes may have more than one ball. What are the chances that after she throws four balls, each box will each contain a single ball?
Answer:
To answer the problem, you will want to simply multiply that chances that each ball will land in an empty box.
Here is what the calculations will look like:
4/4 x 3/4 x 2/4 x 1/4 = 6/64 = 0.09
This means that there is roughly one chance in 10 that each of the four boxes will contain one ball.
Today’s Problem:
If you toss a die six times, what are the chances that all six faces will turn up?