Illinois license plates used to consist of either three letters followed by thre

Question

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits. Assume that all the different possible license plates are equally likely (a) What is the probability that a randomly chosen plate contains the number 6666? (Round your answer to six decimal places.) (b) What is the probability that a randomly chosen plate contains the substring ME? (For example, ME4321 or PME786 are two ways ME might appear. Round your answer to six decimal places.) Submit Answer Save Progress

Explanation / Answer

TOTALnumber of possible license plates =P(3 letter plates+2 letter plates) =263*103+262*104=24336000

a)here starting two letter can change while remaing digits to be fixedd

hence probability =262/24336000=0.000028

b)

for ME ; can happen ME & 4 digits ; ME then letter and 3 digits ; letter ME and then 3 digit

therefore probability =(104+26*103+26*103)/24336000 =0.002548

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