A quiz consists of 10 multiple-choice questions, each with possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50% P(pass) One interpretation of a baseball player's batting average is as the empirical probability of getting a hit each time the player goes to bat. If a player with a batting average of 0.285 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least on hit in the game? e In a family with 7 children, excluding multiple births, what is the probability of having exactly 2 girls? Assume that having a boy is as likely as having a girl at each birth. Find the probability of throwing a sum of 3 at least 7 times in 12 throws of a pair of fair dice. answer: Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement of likelihood given. Type the correct letter in each box. You must get all of the answers correct to receive full credit. 1. This event is impossible. It will never happen. 2. This event is very unlikely to happen, but it will occur once in a while in a long sequence of trials. 3. This event is certain. It will occur on every trial. A. 0 B. 0.94 C. 0.02 D. 1 9. 4. This event is very likely to occur. Four candidates are running for mayor. The four candidates are Adams, Brown, Collins, and Dalton. Employing the subjective approach, a political scientist has assigned the following probabilitites: P(Adams wins) = 0.46 P(Brown wins) - 0.06 P(Collins wins)=0.2 P(Dalton wins) 0.28 Determine the probabilities of the following events: Adams loses = Either Brown or Dalton wins = Either Adams, Brown, or Collins wins