A taxi cab company has 12 santro and 8 alto cars. If these taxi cabs are in the workshops for repairs and a santro is as likely to be in for repairs as a alto. What is the probability that,
1)3 of them are santros and 2 are alto
2)At least 3 of them are santros
3)All the 5 are santros
4)All the 5 are of the same make
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"If in a taxi cab company, a Santro is as likely to be repaired than altos then the probability distributions can be as follows for the various conditions according to the question,
1. (12c3 * 8c2) / 20c5 = 6160/15504 = 0.3973 = 39.73%
2. (12c3 * 8c2) + (12c4*8c1) + (12c5) / 20c5 = 10912/15504 = 0.7038 = 70.3%
3. 12c5/20c5 = 0.0510 = 5.10 %
4. (12c5+8c5)/ 20c5 = 0.0547 = 5.47%"
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