Suppose an airport metal detector catches a person with metal 99% of the time. That is, it misses detecting a person with metal
1% of the time. Assume independence of people carrying metal. What is the probability that the first person missed (not detected) is among the first 50 metal-carrying persons scanned?
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Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.
i.e
therefore, the common difference of the above Arithmetic progression is -4 .