Independent vs Dependent

A box of granola bars contains an assortment of flavors. You randomly choose a granola bar and eat it. Then you randomly choose another bar. Event A: You choose a coconut almond bar first. Event B: You choose a cranberry almond bar second. Are event A and B dependent or independent? Justify your answer.

You roll a six-sided die and flip a coin. Event A: You get a 4 when rolling the die. Event B: You get tails when flipping the coin. Are event A and B dependent or independent? Justify your answer.

You play a game that involves spinning a wheel divided into four parts. The parts are colored blue, red, green, and yellow. Each section of the wheel has the same area. Use a sample space to determine whether randomly spinning blue and then green are independent events.

You play a game that involves spinning the money wheel shown. You spin the wheel twice. Find the probability that you get more than $500 on your first spin and then go bankrupt on your second spin. Round your answer to the nearest tenth.

The number of species in the United States listed as endangered and threatened by category: Mammals: 70 endangered, 16 Threatened Birds: 80 endangered, 16 Threatened Other: 318 endangered, 142 Threatened Find the probability that a randomly selected endangered species from this study is a bird. Round you answer to the nearest tenth. Find the probability that a randomly selected mammal from this study is endangered. Round you answer to the nearest tenth.

You and 19  other students volunteer to present the “Best Teacher” award at a school banquet. One student volunteer will be chosen to present the award. Each student worked at least 1 hour in preparation for the banquet. You worked for 4 hours, and the group worked a combined total of 45 hours. a. If “fair” means equally likely, identify the process that gives you a "fair" chance to be chosen. Also identify the correct probability that you are chosen. b. If “fair” means proportional to the number of hours each student worked in preparation, identify the process that gives you a "fair" chance to be chosen. Also identify the correct probability that you are chosen.

A meteorologist claims that there is a 70% chance of rain. When it rains, there is a 75% chance that your softball game will be rescheduled. What is the likelihood of the game being rescheduled? Explain your reasoning.