The probability that a 6-digit locker combination, will be 1/180. Then the correct option is B.
What is probability?
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The factor of n is given as the production of the number n, (n – 1), (n – 2)… and 1.
Then the factorial of n is given as
n! = n x (n – 1) x (n – 2) x … 3 x 2 x 1
A 6-digit locker that contains the digit will be 3, 5, 7, 3, 5, and 2.
Then the total number of combination without repetition will be given as,
Total events = 6! / (2! x 2!)
Total events = 6 x 5 x 4 x 3 x 2 x 1 / (2 x 1 x 2 x 1)
Total events = 6 x 5 x 3 x 2 x 1
Total events = 180
Then the favorable event will be
Favorable events = 1 {53-27-35]
Then the probability will be
P = (Favorable event) / (Total events)
P = 1/180
Then the correct option is B.
More about the probability link is given below.
https://brainly.com/question/795909
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