Question If 4 boys and 4 girls randomly sit in a row,what is the probability of the following seating arrangement (b)only the boys must sit together The total number of all arrangements is 81=40320 The number of target arrangements is 4！×5!=2880 The probability #{target arrangements} = 28801 #all arrangements) 40320 14
Question If 4 boys and 4 girls randomly sit in a row, what is the probability of the following seating arrangement (b) only the boys must sit together The total number of all arrangements is 8!=40320 The number of target arrangements is 4! ×5! =2880 The probability #{𝑡𝑎𝑟𝑔𝑒𝑡 𝑎𝑟𝑟𝑎𝑛𝑔𝑒𝑚𝑒𝑛𝑡𝑠} #{𝑎𝑙𝑙 𝑎𝑟𝑟𝑎𝑛𝑔𝑒𝑚𝑒𝑛𝑡𝑠} = 2880 40320 = 1 14
Question If 4 boys and 4 girls randomly sit in a row,what is the probability of the following seating arrangement (c)no two people of the same sex are allowed to sit together The total number of all arrangements is 81=40320 The number of target arrangements is 4！×4！×2=1152 The probability #target arrangements] 11521 #all arrangements) 40320 35
Question If 4 boys and 4 girls randomly sit in a row, what is the probability of the following seating arrangement (c) no two people of the same sex are allowed to sit together The total number of all arrangements is 8!=40320 The number of target arrangements is 4! ×4! ×2=1152 The probability #{𝑡𝑎𝑟𝑔𝑒𝑡 𝑎𝑟𝑟𝑎𝑛𝑔𝑒𝑚𝑒𝑛𝑡𝑠} #{𝑎𝑙𝑙 𝑎𝑟𝑟𝑎𝑛𝑔𝑒𝑚𝑒𝑛𝑡𝑠} = 1152 40320 = 1 35
Question Eight balls are randomly withdrawn from an urn that contains 8 red,8 blue,and 8 green balls.Find the probability that (a)4 red,2 blue,and 2 green balls are withdrawn The total number of all combinations is ()=735471 The number of target combinations is (8)×()×()=54880 The probability #(target combinations) 54880 #fall combinations} 735471
Question Eight balls are randomly withdrawn from an urn that contains 8 red, 8 blue, and 8 green balls. Find the probability that (a) 4 red, 2 blue, and 2 green balls are withdrawn The total number of all combinations is 24 8 =735471 The number of target combinations is 8 4 × 8 2 × 8 2 =54880 The probability #{𝑡𝑎𝑟𝑔𝑒𝑡 𝑐𝑜𝑚𝑏𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠} #{𝑎𝑙𝑙 𝑐𝑜𝑚𝑏𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠} = 54880 735471
Question Eight balls are randomly withdrawn from an urn that contains 8 red,8 blue,and 8 green balls.Find the probability that (b)at least 3 red balls are withdrawn The total number of all combinations is ()=735471 The number of target combinations is (4)-()x()-()×(,)-(s)=406857 The probability #(target combinations) 12329 #fall combinations} 22287
Question Eight balls are randomly withdrawn from an urn that contains 8 red, 8 blue, and 8 green balls. Find the probability that (b) at least 3 red balls are withdrawn The total number of all combinations is 24 8 =735471 The number of target combinations is 24 8 − 8 2 × 16 6 − 8 1 × 16 7 − 16 8 =406857 The probability #{𝑡𝑎𝑟𝑔𝑒𝑡 𝑐𝑜𝑚𝑏𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠} #{𝑎𝑙𝑙 𝑐𝑜𝑚𝑏𝑖𝑛𝑎𝑡𝑖𝑜𝑛𝑠} = 12329 22287