147. A goods expert examines 24 samples of goods. The probability that each sample will be deemed suitable for sale is 0.6. Find the most probable number of samples that the goods expert will consider suitable for sale.
Solution. According to the condition, $n=24 ; p=0.6 ; q=0.4$. Let's find the most probable number of saleable samples from the double inequality $n p-q<k_{0}<n p+p$. Substituting the data from the problem, we get

$$
24 \cdot 0.6-0.4<k_{0}<24 \cdot 0.6+0.6 \text {, or } 14<k_{0}<15 \text {. }
$$

Since $n p-q=14$ is an integer, there are two most probable numbers: $k_{0}=14$ and $k_{0}+1=15$.