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1.) A group of students were asked if they will continue wearing masks on campus in the fall. 175 responded yes, and 325 responded no.

1.) A group of students were asked if they will continue wearing masks on campus in the fall. 175 responded "yes", and 325 responded "no".

Find the probability that if a student is chosen at random, they will wear a mask on campus in the fall. Enter your answer as a fraction using the "/" symbol , or as a decimal rounded to two decimal places.

2.) A test was given to a group of students. The grades and preferred gender are summarized below .

Letter Grades
A B C Total
Male 10 24 10 44
Female 17 10 19 46
Non-Binary 13 16 1 30
Total 40 50 30 120

  • If a student is chosen at random, what is the probability that the student is non-binary? Enter your answer as a fraction using the "/" symbol, or a decimal rounded to one decimal place.

  • If a student is chosen at random, what is the probability that the student received a B, given that the student was male? Enter your answer as a fraction using the "/" symbol, or a decimal rounded to two decimal places.

3.) Find each probability:

  • You roll a fair six-sided die and then flip a coin. Find the probability of rolling a number greater than 2, and then flipping a heads. Enter your answer as a fraction using the "/" symbol, or a decimal rounded to two decimal places.

  • A jar of marbles contains 15 red marbles and 20 blue marbles. If you randomly pull out two marbles, what is the probability that both marbles will be red (without replacement)? Enter your answer as a fraction using the "/" symbol, or a decimal rounded to two decimal places.

4.) A four-character passcode is needed to unlock an assessment for Brightspace. The code can be any combination of letters (A - Z) and numbers (0 - 9).

  • If letters and numbers cannot be repeated, how many passcodes are possible?

  • If letters and numbers can be repeated, how many passcodes are possible?

5.) From a playlist of 32 songs, a student chooses 5 random songs to play.

  • Find the number of different ways that the student can play the five songs if order does not matter, and no song is repeated.

  • Find the number of different ways that the student can play the five songs if order does matter, and no song is repeated.

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