How can you use 10 index cards to predict the answer if you want to predict how many times in the next 50 tries a girl will make a free throw based on her average basketball free throw of 60 percent?

Answer 1

1. Take the ten index cards and mark six of them (60%) as FT (Free Throw).
   
2. Set a counter to 0
3. Select an index card at random. If it is FT then add one to the counter, if not, don't.
   
4. Repeat step three 49 more times.
5. The counter value is a predicted estimate.

You could have done it much more simply by using the rule of proportionality: x FTs in 50 = 60%

so 100*(x/50) = 60

therefore 2x = 60 and so x = 30.