Example 12 - Chapter 15 Class 10 Probability (Important Question)

Transcript

Example 12 (i) A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Jimmy? Total number of shirts = 100 Number of shirts acceptable to jimmy = Number of shirts which are good = 88 P (shirt is acceptable to Jimmy) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠ℎ𝑖𝑟𝑡𝑠 𝑎𝑐𝑐𝑒𝑝𝑡𝑎𝑏𝑙𝑒 𝑡𝑜 𝐽𝑖𝑚𝑚𝑦)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠ℎ𝑖𝑟𝑡𝑠) = 88/100 = 0.88 Example 12 (ii) A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that (ii) it is acceptable to Sujatha? Total number of shirts = 100 Number of shirts acceptable to Sujatha = Number of shirts which are good + Number of shirts which have minor defects = 88 + 8 = 96 P(shirt is acceptable to Sujatha) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠ℎ𝑖𝑟𝑡𝑠 𝑎𝑐𝑐𝑒𝑝𝑡𝑎𝑏𝑙𝑒 𝑡𝑜 𝑆𝑢𝑗𝑎𝑡ℎ𝑎)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠ℎ𝑖𝑟𝑡𝑠) = 96/100 = 0.96