Answer:
The correct answer is B. 7776
Step-by-step explanation:
[tex]\text{Probability of selecting one correct choice from available 6 choices= }\frac{1}{6}[/tex]
Since the locks combination are independent of each other, you can multiply the probabilities together. There are 6 possible numbers for each lock and there are 5 locks.
[tex]\text{So, Probability of guessing the correct combination = }\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\\\\=(\frac{1}{6})^5=\frac{1}{7776}[/tex]