7.6.I Determine experimental & theoretical probabilities using data and sample spaces

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Gabriel has these cans of soup in his kitchen cabinet. • 2 cans of tomato soup • 3 cans of chicken soup • 2 cans of cheese soup • 2 cans of potato soup • 1 can of beef soup Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

On Roberto’s shelf are: • 6 mystery books • 5 science books • 4 history books • 3 adventure books Roberto will randomly choose 1 book to read. What is the probability that he will choose an adventure book?

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a blue marble from each bag?

Rachel is setting up tables for a party. Four of the tables are covered with red tablecloths, and eight of the tables are covered with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests. What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?