in Others edited by
0 votes
0 votes

TIFR ECE 2023 | Question-1

Consider a fair coin with probability of heads and tails equal to $1 / 2$. Moreover consider two dice, first $\mathrm{D}_{1}$ that has three faces numbered $1,3,5$ and second $\mathrm{D}_{2}$ that has three faces numbered $2,4,6$. When rolled, for both $\mathrm{D}_{1}$ and $\mathrm{D}_{2}$, each of the three faces are equally likely.

A random experiment is conducted as follows. First, the coin is flipped once. If it shows heads, dice $\mathrm{D}_{1}$ is rolled once, while if the coin shows tails, $\mathrm{D}_{2}$ is rolled once, and the experiment ends.
Let $\mathrm{X}$ be the (random) number seen on the rolled dice in the experiment.
What is $\mathbb{E}[X]$ ?

  1. $\frac{7}{2}$
  2. 4
  3. 3
  4. $\frac{9}{2}$
  5. None of the above


in Others edited by
43.6k points

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.