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 A survey from an independent agency found that 40% of consumers receive their spending money from their other jobs. If 6 people are selected at random, find the probability that at least 4 of them receive their spending money from their other jobs


Three people are selected for a committee from 4 Democrats and 3 Republicans. What is the probability the committee contains both Democrats and Republicans given that it contains at least two Democrats?



What is the probability of landing on an even number after spinning a spinner with 7 equal sectors numbered 1 through 7.


In a certain country, license plates have three letters followed by two digits. If the first digit cannot be zero, how many different license plates are possible if: repetition of letters are NOT allowed?


In how many ways can you form a four-digit number greater than or equal to 6000 using the digits 0,3,5,6,7, and 8 if repetition of digits is NOT allowed? 



When studying cesium 137, it is found that during the course of decay over 365 days, 1,000,000 radioactive atoms are reduced to 977,287 radioactive atoms. Find its variance


If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys?


A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. 

  1. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate.
  2. What is the probability that the password spells the word “MATH?” Show work but do not evaluate. 

On Saturday, 63 customers at a restaurant ordered dessert and 252 customers did not order dessert. What percentage of the customers at this restaurant ordered desert on Saturday?


A six-faced die is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice. What is the probability that the sum of the two number thrown is even?


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