Probability and Counting Methods

1. Determine the sample space of some identical marbles in an urn, which have been assigned numbers from 11 to 25. 2. Based on what you have learned about the values that a probability can acquire, determine: a) the probability of an impossible event occurring b) the probability of an unavoidable even 3. List one (1) example of a probability with a value of zero (0) and one (1) example of a probability with a value of one (1). 4. Would it be correct for a meteorologist to say that the probability of snow falling in the United States next December is 12? Explain 5. What does it mean if the result of a probability is too small, like 0.00003? Explain. 6. Which of the following values cannot be probabilities: 0, -1, 0.52, 2.1, 0.075, 1 / 2,0.9? 7. The following probabilities are given: P (E1) = 0.20, P (E2) = 0.15, P (E3) = 0.40 and P (E4) = 0.25. Are these values legitimate? Explain. 8. Determine the probability that a two (2) will be rolled when a die is rolled. 9. Determine the probability that an odd number will be rolled when you roll a die. 10. Determine the probability that a number greater than three (3) will be rolled when rolling a die. 11. Determine the probability that a king of hearts will be drawn when drawing a card from a deck. 12. If you have 30 red balls, 22 green balls, 16 yellow balls and 4 blue balls in an um: a) What is the probability that you will get a red ball? b) what is the probability that you will throw a red or yellow ball? c) what is the probability that you will draw a ball that is not blue? 13. If you roll two dice, what is the probability that the sum of the scores is 10? 14. If you roll two dice, what is the probability that the product of the scores is less than 20