Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact ght occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 174 encounters and note the outcome (fight status and winner). a Click the icon to view a summary of the 174 initiated encounters. Data table a. What is the probability that a fight occurs and the initiator wins? The probability is , (Round to the nearest thousandth as needed.) b. What is the probability that no fight occurs? _ _ . _ Initiator No Clear Initiator The probability is . (Round to the nearest thousandth as needed.) Wins Winner Loses Totals Fight 23 22 18 63 c. What is the probability that there is no clear winner? No Fight 76 18 17 111 The probability is , (Round to the nearest thousandth as needed.) Totals 99 40 35 174 d. What is the probability that a fight occurs or the initiator loses? The probability is . (Round to the nearest thousandth as needed.) e. Are the events "no clear winner" and "initiator loses" mutually exclusive