HEADS OR TAILS? When probability is stated as a proper fraction, it is always between 0 and 1. When a coin is tossed, there are two outcomes. Each of the outcomes is an event. The probability that the event will result in a head or tail is $ for heads and i for tails. So the probability of tails plus the probability of heads equals the one coin-tossing event. Therefore, 1 + 1=1. If a coin is tossed 5 times and the coin lands heads up three times and tails up twice, the ratios are : (heads) and ? (tails). Adding { + {'= $ =1. A coin is tossed 10 times. The 10 tosses are H, H, T, H, T, T, T, H, H, H. The total number of tosses is 10. The number of H's is six. The number of T's is four. The frequency of heads is six times in the 10 tosses or %%. The frequency of tails is four times in the 10 tosses or To. The coin-tossing event above took place 10 times. The event of the coin landing heads up occurred six times. The probability ratio for heads is the proper fraction fo. The event of the coin landing tails up occurred four times. The probability ratio for tails is the proper fraction 7%. Adding the proper fractions representing the probability ratios, " + to , equals 1. Answer the following questions. 1. The number of times the coin-tossing event occurred is 2. The frequency of a head in the ten tosses of the coin is 3. The frequency of a tail in the ten tosses of the coin is _ 4. The fraction that represents the number of heads in the ten tosses is 5. The proper fraction in Question 4 changed to a proper fraction in simplified form is -. 6. The fraction that represents the number of tails in the ten tosses is the fraction 7. The proper fraction in Question 6 changed to a proper fraction in simplified form is Circle the fraction represented by the statement. 8. The coin is tossed ten times and lands tails up three of those times. To To To 9. The coin is tossed ten times and lands tails up seven of those times. To 76 To to 10. The coin is tossed ten times and lands heads up eight of those times To To To 11. The coin is tossed five times and lands tails up two of those times. 12. The coin is tossed five times and lands heads up four of those times