12) A jar contains 9 red marbles, numbered 1 to 9, and 11 blue marbles numbered 1 to 11. Find the following probabilities. Round solutions to three decimal places, if necessary. a) A marble is chosen at random. If you're told the marble is red, what is the probability that it has the number 3 on it? P3 | red) = b) The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 1 on it, what is the probability the marble is red? Pred | 1) = 13.) A jar contains 28 red marbles numbered 1 to 28, and 52 blue marbles numbered 1 to 52. A marble is drawn at random from the jar. Find the probability of the given event. Round solutions to three decimal places, if necessary. (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or odd) (d) The marble is blue or even numbered. P(blue or even) = 14.) In a large school, it was found that 66% of students are taking a math class, 71% of student are taking an English class, and 66% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. P(Math or English) = Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. P(Not Math nor English) = 15.) At I Love Food restaurant, you can choose from 6 appetizers, 11 entrees and 4 desserts. How many three- course meals can you order? There are possible three-course meals. 16.) A pizza parlor offers a choice of 10 different toppings. How many 4-topping pizzas are possible? Should this exercise involve permutations, combinations, or the fundamental counting principle? A) Fundamental Counting Principle B) Combinations C). Permutations There are possible 4-topping pizzas.