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Jack has one crayon for each color of the rainbow (red, orange, yellow, green, blue, and violet).The crayons are to be arranged in a random order. What is the probability that red will be in the first spot and green will be in one of the remaining 2 spots?

 

In the same set of crayons mentioned above, find the probability that yellow is not in any of the 3 spots.

 

How many positive 3 digit integers contain exactly two prime digits?

 

How many positive integers below 1000 contain one digit that is an 8?

 

A certain coin contains heads and tails, but it is not a fair coin. The probability of heads is .62. Find the probability that when the coin is flipped 5 times, there will be at least 4 heads.

 

A bag of 20 marbles includes 6 red, 7 blue, 4 white, and 3 purple.  Use this information to answer the following two questions.

What is the probability that when 3 marbles are removed without replacement, 2 will be blue and 1 will be purple?

 

When 4 marbles are removed with replacement, find the probability of obtaining 3 reds and then 1 blue