#1 in a certain lottery, , you must correctly select 4 numbers (in any order) out of 33 to win. you purchase 1 lottery ticket. what is the probability that you will win?

#2 A class has 34 students. In how many different ways can four students form a group for an activity? (assume the order of the students is not important)

#3 A DJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first four songs on the playlist?

#4 A warehouse employs 26 workers on first shift, 17 workers on second, 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly two second shift workers and two third shift workers?

#5 How many different 10-letter words (real or imaginary) canbe formed from the following letters?

Q, I, F, X, P, A, I, K, I, E

#6 The numbers of dogs per household in a small town

Dogs	0	1	2	3	4	5
Probability	0.674	0.205	0.079	0.024	0.012	0.006

Find the mean, variance, and standard deviation of the probability distribution.

Interpret the results.