Answer:
15.15% probability that Neil selects a bone and then a ball
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.
Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.
What is the probability Neil selects a bone and then a ball?
![p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B3%7D%2A%5Cfrac%7B5%7D%7B11%7D%20%3D%20%5Cfrac%7B5%7D%7B33%7D%20%3D%200.1515)
15.15% probability that Neil selects a bone and then a ball