A bag contains 12 identically shaped blocks, 3 of which are red and the remainder are green. The bag is well-shaken and a single block is drawn. a) What is the probability that the block is red? b) What is the probability that the block is not red? Each of the letters for the word 'MATHEMATICS' is printed on same-sized pieces of paper and placed in a hat. That hat is shaken and one piece of paper is drawn. a) What is the probability that the letters S is selected? b) What is the probability that the letter M is selected? c) What is the probability that a vowel is selected? Many board games involve a roll of two-six sided dice to see how far you may move your pieces. a) Copy and complete the following table that shows the totals for all possible rolls of two dice. b) What is the probability of rolling a 7? Second Die 1 2 3 A 5 6 First Die 1 2 3 4 5 6 c) What is the probability of not rolling a 7? d) What is the probability of rolling doubles? What is the probability that a randomly drawn integer between 1 and 40 is not a perfect square? A picnic cooler contains different types of cola: 12 regular, 8 cherry, 10 diet, 6 diet cherry, 8 caffeine- free, and some caffeine-free diet. You pick a can of cola without looking at its type. There is a 44% chance that the drink selected is diet. How many caffeine-free diet colas are in the cooler?