The table shows the probabilities associated with each possible target. Penalty Kick Target Probabilities Target Probability of Hitting the Target Probability of Missing the Goal Completely If Target Is Hit, Probability That Goalie Will Stop the Ball  1 0.6 0.4 0.07 2 0.8 0.2 0.25 3 0.7 0.3 0.12 4 0.9 0.1 0.36   According to this information, at which target should Abby aim to have the highest probability of scoring a goal?

Breast Cancer To explain why the chance of a woman getting breast cancer in the next year goes up each year, while the chance of a woman getting breast cancer in her lifetime goes down, Ruma Falk made the following analogy. Suppose you are looking for a letter that you may have lost. You have 8 drawers in your desk. There is a probability of 0.1 that the letter is in any one of the 8 drawers and a probability of 0.2 that the letter is not in any of the drawers. Source: Chance News. a. What is the probability that the letter is in drawer 1? b. Given that the letter is not in drawer 1, what is the probability that the letter is in drawer 2? c. Given that the letter is not in drawer 1 or 2, what is the probability that the letter is in drawer 3? d. Given that the letter is not in drawers 17, what is the probability that the letter is in drawer 8? e. Based on your answers to parts ad, what is happening to the probability that the letter is in the next drawer? f. What is the probability that the letter is in some drawer? g. Given that the letter is not in drawer 1, what is the probability that the letter is in some drawer? h. Given that the letter is not in drawer 1 or 2, what is the probability that the letter is in some drawer? i. Given that the letter is not in drawers 17, what is the probability that the letter is in some drawer? j. Based on your answers to parts fi, what is happening to the probability that the letter is in some drawer?

What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.

You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?