Date PROBABILITY WHEN OUTCOMES ARE NOT EQUALLY LIKELY In studying probability problems where a fair coin or die is tossed, each of the outcomes is equally likely to occur. When a coin is tossed, the likelihood of a tail is the same as the likelihood of a head. The probability of each is . In the case of a die, the likelihood of one of the numbers 1, 2, 3, 4, 5, or 6 appearing is equally likely. The probability of any one of the numbers appearing when the die is tossed is . In many probability problems, however, all outcomes are not equally likely. The probability of the outcomes cannot be represented by the same proper fraction. The next exercise will help you understand outcomes that are not equally likely. Five marbles are placed in a bag. The five marbles are all black. There are no other objects in the bag. Answer the following questions. 1. If one marble is drawn from the bag, the marble is what fraction of the five marbles?- 2. The fraction representing the four marbles remaining in the bag is 3. The probability that a black marble will be drawn from the bag is or %. 4. The probability that a white marble will be drawn from the bag is or %. Five marbles are placed in a bag. One marble is white, one marble is red, and three marbles are black. 5. The proper fraction representing one of the five marbles is 6. The proper fraction representing the three black marbles is 7. The proper fraction representing the white marble is 8. The proper fraction representing the red marble is Place the fractions in Questions 6, 7, and 8 in the blanks below and find the sum. 9. The three black marbles, one white marble, and one red marble are placed in the bag and drawn one at a time. After each marble is drawn, it is placed back in the bag before the next draw takes place. 10. There are _ possible outcomes in this experiment. 11. Each of the outcomes is an 12. The probability that a white marble will be drawn is the proper fraction 13. The probability that a black marble will be drawn is the proper fraction 14. The probability that a red marble will be drawn is the proper fraction