Question
Download Solution PDFThere are five cards with the numbers 1, 3, 5, 6 and 9. Find the probability that a 5 digit number formed by using these cards is divisible by 4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The total number of 5 digit numbers that can be formed by using the five cards
⇒ 5! = 120
Divisibility of 4:
A number is divisible by 4 if it's last two digit is divisible by 4
Now, The numbers of number formed by these 5 digits which is divisible by 4
Case 1. When the last two digit is 16
The numbers of number formed = 3! = 6
Case 2. When the last two digit is 36
The numbers of number formed = 3! = 6
Case 3. When the last two digit is 56
The numbers of number formed = 3! = 6
Case 4. When the last two digit is 96
The numbers of number formed = 3! = 6
So, The total numbers of number formed by these 5 digits which is divisible by 4 is 24
∴ The probability P(E) IS 24/120 = 0.2Last updated on Jun 25, 2025
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