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11. Let us denote the non-defective and defective bulbs by 'N' and 'D'. So, that the sample space of selecting 3 bulbs from a lot is.

S = {NNN, NND, NDN, DNN, DDN, NDD, DND, DDD}

11. The possible outcomes when a coin is tossed is a Head or a Tail. And the possible outcomes when a die is rolled is 1, 2, 3, 4, 5 or 6.

By condition, when a head occurs or first toss the coin is tossed again and if a tail occurs on first toss a die is rolled. So, the required sample space is

S = { (H, H), (H, T), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5) and (T, 6)}

9. Let us denote the red and white balls by R and W. We are to draw one ball and then another ball without replacement. So, the desired sample space is

S = {RW, WR, WW}

8. Let us denote boys and girls by B and G.

(i) The desired sample space whether a boy or girl are the children according to their birth.

S = {BB, BG, GB, GG}

(ii) A family of two children can be two girls, one girl or no girl. So, the desired sample space is S = {0, 1, 2}

7. One rolling a dice we have the possible outcome 1, 2, 3, 4, 5 and 6. Let us denote R, W and B as red, white and blue respectively. So, the desired sample space is

S = { (R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (W, 1), (W, 2), (W, 3), (W, 4), (W, 5), (W, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

6. Let us denote B1, B2 to be the boys and G1, G2 to be the girls in Room X and B3 to be the boy and G3, G4, G5 to the girls in Room Y. Hence the desired sample space is

S = { (X, B1), (X, B2), (X, G1), (X, G2), (Y, B3), (Y, G3), (Y, G4), (Y, G5)}

While applying for Arena Animation South Ex Certificate admission, candidates may be required to upload certain documents as specified by the college. Listed below are the general documents that must be presented while applying for Certificate admission:

• Class 10 mark sheet
• Class 12 mark sheet
• ID proof, i.e., Aadhar Card, PAN Card, etc.
• Character certificates
• Passport-sized photographs  

Note: The above-mentioned list is as per general information. It is still subject to change.

5. When a coin is tossed we have the outcomes of a head or a tail and when a dieice is rolled we have the outcome 1, 2, 3, 4, 5 or 6. So, the desired sample space is

S = {T, (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}

Give a read to various reasons to study Diploma in Accounting courses:

• It provides various career options at positions in boty public and private sectors entailing roles such as accountant, tax assistant, payroll executive, and many more. 
• A Diploma in Accounting can be a foundation for further certifications like CPA and ACCA.
• It can also help in skill development like financial reporting, budgeting, forecasting, and internal control, etc. The skills learned here will be applicable in various areas such as banking, finance, insurance and corporate sectors. 

4. The possible outcomes of throwing a coin and rolling a dice are Head and tail and 1, 2, 3, 4, 5 and 6 respective. So, the desired sample space is

S = { (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

3. On tossing a coin the possible outcomes are Head and Tail. The sample space of tossing a coin four times is

S = {HHHH, THHH, HTHH, HHTH, HHHT, TTTT, HTTT, THTT, TTHT, TTTH, TTHH, HHTT, THTH, HTHT, THHT, HTTH}

To take admission to San Jose State University MS in AI, the applicants must have an UG degree with a 3.0 GPA or higher. The UG degree must be in Math, Physics, Engineering, Computer Science or a closely related field. If UG programme is not ABET-accredited, then GRE is required with minimum GRE q+v of 305 and GRE AWA of 3.0. Also, note that GRE q+v minimum higher than 305 may be needed for successful admission depending on the number of applicants. Also, an English language proficiency score is required too.

There is no information availabe on the offcial website related to the application deadline for Certificate courses. Infact, the admissions are going on for the year 2025. Candidates are advised to check the official website for more updtaes.

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