1107 11.7 Basics of Probability 3. When two different denominations of fair coins are tossed, there are possible outcomes, and the probability of each outcome is . 4. When two distinct fair dice are rolled, there are possible outcomes, and the probability of each outcome is . 5. When a fair coin is tossed 4 times, the probability of obtaining heads on all tosses is . 6. When a fair coin is tossed and a fair die is rolled, the probability of obtaining a “head” and a “3” is . Concept Check Write a sample space with equally likely outcomes for each experiment. 7. Two fair coins are tossed. 8. A two-headed coin is tossed once. 9. Three fair coins are tossed. 10. Slips of paper marked with the numbers 1, 2, 3, and 4 are placed in a box. A slip is drawn and set aside, its number is recorded, and then a second slip is drawn. 11. The spinner shown here is spun twice. 1 3 2 12. A fair die is rolled and then a fair coin is tossed. Write each event in set notation and give the probability of the event. See Example 1. 13. Refer to Exercise 7. (a) Both coins show the same face. (b) At least one coin is a head. 14. Refer to Exercise 8. (a) The result of the toss is heads. (b) The result of the toss is tails. 15. Refer to Exercise 9. (a) All three coins show the same face. (b) At least two coins are tails. 16. Refer to Exercise 10. (a) Both slips are marked with even numbers. (b) Both slips are marked with odd numbers. (c) Both slips are marked with the same number. (d) One slip is marked with an odd number, the other with an even number. 17. Refer to Exercise 11. (a) The result is a repeated number. (b) The second number is 1 or 3. (c) The first number is even and the second number is odd. 18. Concept Check A student gives the probability of an event in a problem as 6 5. Why must this answer be incorrect? 19. Concept Check If the probability of an event is 0.857, what is the probability that the event will not occur?
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