In a bag of M & M's, there are 80 M & Ms, with 12 red ones, 13 orange ones, 19 blue ones, 12 green ones, 17 yellow ones, and 7 brown ones. They are mixed up so that each candy piece is equally likely to be selected if we pick one. (a) If we select one at random, what is the probability that it is brown? Round your answer to three decimal places.

A researcher is selecting lab rats for her experiment.  She assigns each rat a number and picks numbers out of a hat while blindfolded.  The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female  spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.

Seven ​students: Ann, Bob, Carol, Dan, Eve, Frank, and George​, are randomly lined up for a picture. What is the probability that Dan and Eve are standing next to each other​ (in either​ order)?   nothing    Round your answer to 4 decimal​ places, if necessary.

Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.

A box has 6 blue and 4 green jelly beans. A bag has 9 blue and 2 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)