Question 54 of 55advanced🔧 ApplyNumerical4 marks
If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, (i) the digits are repeated? (ii) the repetition of digits is not allowed?
(i)
Answer
2/5
(ii)
Answer
3/8
Explanation
This is a probability problem involving permutations and combinations. We need to find total outcomes (4-digit numbers > 5000) and favorable outcomes (numbers divisible by 5, i.e., ending with 0 or 5) for both cases.