Question Number 144582 by zakirullah last updated on 26/Jun/21
![Q. 1. throw two dice list, the elements of the sample space of the experement. let A be the event that the sum of the fa4es is odd and B be tbe event that at least one occurs. find the subset of the sample space in which i. event A and B occurs togather. ii. event A occurs or event B occurs. iii. event A occours but not B.](https://www.tinkutara.com/question/Q144582.png)
$$\mathrm{Q}.\:\mathrm{1}.\:\mathrm{throw}\:\mathrm{two}\:\mathrm{dice}\:\:\mathrm{list},\:\mathrm{the}\:\mathrm{elements}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sample}\:\mathrm{space} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{experement}.\:\mathrm{let}\:\mathrm{A}\:\mathrm{be}\:\mathrm{the}\:\mathrm{event}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{fa4es}\:\mathrm{is}\:\mathrm{odd}\:\mathrm{and}\:\mathrm{B}\:\mathrm{be}\:\mathrm{tbe}\:\mathrm{event}\:\mathrm{that}\:\mathrm{at}\:\mathrm{least}\: \\ $$$$\mathrm{one}\:\mathrm{occurs}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{subset}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sample}\:\mathrm{space} \\ $$$$\mathrm{in}\:\mathrm{which}\: \\ $$$$\mathrm{i}.\:\mathrm{event}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{occurs}\:\mathrm{togather}. \\ $$$$\mathrm{ii}.\:\mathrm{event}\:\mathrm{A}\:\mathrm{occurs}\:\mathrm{or}\:\mathrm{event}\:\mathrm{B}\:\mathrm{occurs}. \\ $$$$\mathrm{iii}.\:\mathrm{event}\:\mathrm{A}\:\mathrm{occours}\:\mathrm{but}\:\mathrm{not}\:\mathrm{B}. \\ $$