Statistics and Probability

3 D\" 5' Q 7 3 A group of people were asked if they had run a red light in the last year. 222 responded "yes", and 433 responded "no". Find the probability that If a person is chosen at random, they have run a red light in the last year. A test was given to a group of students. The grades and gender are summarized below _---IEI Imman- -IEIIEIEIEI If one student Is chosen at random from those who took the test. Find the probablllty that the student was female GIVEN they got a 'C'. Hannah buys a bag of cookies that contains 3 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 4 oatmeal raisin cookies. What is the probability that Hannah randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? Express your answer as a reduced fraction. A jar contains 12 red marbles numbered 1 to 12 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red lb) The marble is odd-numbered (c) The marble is red or odd-numbered (d) The marble is blue and even-numbered A boy owns 6 pairs of pants, 5 shirts, 4 ties, and 4 jackets. How many different outfits can he wear to school if he must wear one of each item? How many different ways can a race with 5 runners be completed? (Assume there is no tie.) In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose 51. What is the expected value of this game? A bag contains 3 gold marbles, 6 silver marbles, and 25 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win 53. If it is silver, you win $2. If it is black, you lose 51. What is your expected value if you play this game