Answer:
The probability of selecting a password such that Q comes earlier than both the numbers is .
Step-by-step explanation:
The options to form a password of length 4 are: Q, Y, 5 and 8.
The total number of passwords that can be formed is, 4! = 24.
The condition applied is: Q comes earlier than both the numbers.
The sample space satisfying this condition is:
S = {QY58, QY85, YQ58, YQ85, Q58Y, Q85Y, Q5Y8, Q8Y5}
= 8 possible passwords.
The probability of selecting a password such that Q comes earlier than both the numbers is:
Thus, the probability of selecting a password such that Q comes earlier than both the numbers is .