202360 marks17 questions
2 of its 17 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.
Sit this paper against the clock, marked by its official answers, or get a new paper like it. Sign in first; practising is part of Pro.
Source: JEE (Advanced) 2023, Paper 2, Maths, published by JEE (Advanced). The official PDF
Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is 1/3, then the probability that the experiment stops with head is
Let X be the set of all five digit numbers formed using 1, 2, 2, 2, 4, 4, 0. For example, 22240 is in X while 02244 and 44422 are not in X. Suppose that each element of X has an equal chance of being chosen. Let p 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 38p is equal to