A) \[\frac{1}{2}\]
B) \[\frac{^{10}{{C}_{5}}}{{{10}^{5}}}\]
C) \[\frac{1}{10}\]
D) \[\frac{5!}{10!}\]
Correct Answer: C
Solution :
[c] The probability that the door is opened in the fifth trial \[=\frac{9}{10}\times \frac{8}{9}\times \frac{7}{8}\times \frac{6}{7}\times \frac{1}{6}=\frac{1}{10}\]
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