Independent & Dependent Events
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.[br][b]Event [i]A[/i]:[/b] You choose a coconut almond bar first.[br][b]Event [i]B[/i]:[/b] You choose a cranberry almond bar second.
Are event A and B dependent or independent? Justify your answer.
If there are 5 Cranberry Almonds, 6 Chocolate Chip, and 4 Coconut Almond granola bars, what is the probability that you randomly choose a coconut almond bar first, and a cranberry almond bar second?
A box of granola bars contains an assortment of flavors. You randomly choose a granola bar and decide you don't want to eat that kind, so you put it back into the box. Then you randomly choose another bar.[br][b]Event [i]A[/i]:[/b] You choose a coconut almond bar first.[br][b]Event [i]B[/i]:[/b] You choose a cranberry almond bar second.
Are event A and B dependent or independent? Justify your answer.
If there are 5 Cranberry Almonds, 6 Chocolate Chip, and 4 Coconut Almond granola bars, what is the probability that you randomly choose a coconut almond bar first, and a cranberry almond bar second?
You roll a six-sided die and flip a coin.[br][b]Event [i]A[/i]:[/b] You get a 4 when rolling the die.[br][b]Event [i]B[/i]:[/b] You get tails when flipping the coin.
Are event A and B dependent or independent? Justify your answer.
What is the probability of getting a 4 when you roll the die and getting a tails when you flip the coin?
You play a game that involves spinning a wheel divided into four parts. The parts are colored blue, red, green, and yellow as shown in the picture below. 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.
Find the probability of randomly spinning blue and then green.
You play a game that involves spinning the money wheel shown below. You spin the wheel twice.
https://www.deviantart.com/drewmandew/art/Wheel-of-Fortune-Spin-the-Wheel-Style-833210588
Find the probability that you get more than $500 on your first spin and then go bankrupt on your second spin.
[br]The number of species in the United States listed as endangered and threatened by category:[br][br][table][tr][td][/td][td]Endangered[/td][td]Threatened[/td][/tr][tr][td]Mammals[/td][td][center]70[/center][/td][td][center]16[/center][/td][/tr][tr][td]Birds[/td][td][center]80[/center][/td][td][center]16[/center][/td][/tr][tr][td]Other[/td][td][center]318[/center][/td][td][center]142[/center][/td][/tr][/table][br][br]
Find the probability that a randomly selected endangered species from this study is a bird.
Find the probability that a randomly selected mammal from this study is endangered.
You and 19 other students volunteer are 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.
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.[br]
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.