Find the indicated probability.

1. On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

2. A die with 12 sides is rolled. What is the probability of rolling a number less than 11?

3. A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

4 . Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 3?

5 Find the odds against correctly guessing the answer to a multiple choice question with 6 possible answers.

6 A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

7 If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

8 In one town, 44% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.

9 Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

10 A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.