Appeared in: 2025 (3 sets)
(a) 10 identical blocks are marked with '0' on two of them, '1' on three of them, '2' on four of them and '3' on one of them and put in a box. If $X$ denotes the number written on the block, then write the probability distribution of $X$ and calculate its mean.
OR
(b) In a village of 8000 people, 3000 go out of the village to work and 4000 are women. It is noted that $30%$ of women go out of the village to work. What is the probability that a randomly chosen individual is either a woman or a person working outside the village?