2. A random number generator in a game to determines the fate of a character. All values from 0-25 are equally likely. Any number above 8 on the number generator results in a successful attack. A value of a number 18- 20 results in a 'critical hit'. Sketch the probability distribution for the character's fate, shade the appropriate area that a character performs a successful attack but not a 'critical hit', and calculate the probability that a character performs a successful attack but not a 'critical hit'.

Of the cartons produced by a company, 7% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

A cookie is selected at random from a basket containing 10 peanut butter ​cookies, 8 caramel ​cookies, 12 sugar ​cookies, and 20 mint cookies. Find the probability that a peanut butter cookie is selected.

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X= the number of shots that scored points.   Find the probability that DeAndre scored with more than 50 of these shots.