Verified Solution • 2025–26 Session moderate

QJEEAdv23Mae8ad: JEE Advanced 2023 Mathematics - Class 12 JEEAdv23Mae8ad Solution: Let be the set of all five digit numbers formed using…

Let XX be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in XX while 02244 and 44422 are not in XX . Suppose that each element of XX has an equal chance of being chosen. Let pp be the conditional probability that an element chosen at random is a multiple of 20 given that it is a multiple of 5 . Then the value of 38p38 p is equal to :

Step-by-Step Verified Solution

Number of elements in X\mathrm{X} which are multiple of 5
JEE Advanced 2023 Paper 2 Online Mathematics - Probability Question 6 English Explanation 1
Among these 38 elements, let us calculate when element is not divisible by 20

JEE Advanced 2023 Paper 2 Online Mathematics - Probability Question 6 English Explanation 2
∴p=38−738\therefore p=\frac{38-7}{38}

∴38p=31\therefore 38 p=31

Related Learning Resources & Exam Preparation

JEE Advanced PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring