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A sample space diagram is usually a Venn diagram with the event(s). See the related link.
Random error and sample size have an inverse relationship...As sample size INCREASES random error DECREASES. There's a good explanation at the related link.
Follow the attached related link for general information on the Math Olympiad program, including sample problems.
CBSE Sample Papers for Class 12 are available on many sites. Refer to related links below for links of websites. Visit http://schools.aglasem.com/?p=33658 for direct Marathi Class 12th Sample Paper
CBSE Sample Papers for Class 9th, 10th, 11th and 12th are available online on many websites for all subjects including Maths. You can access them for free. Also you can buy sample papers books online. Links to free sample papers and online purchase are given below in related links.