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. 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.

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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?

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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. 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.

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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?

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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.

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What is the probability of getting a 4 when you roll the die and getting a tails when you flip the coin?

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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.

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Find the probability of randomly spinning blue and then green.

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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.

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The number of species in the United States listed as endangered and threatened by category:

	Endangered	Threatened
Mammals	70	16
Birds	80	16
Other	318	142

Find the probability that a randomly selected endangered species from this study is a bird.

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Find the probability that a randomly selected mammal from this study is endangered.

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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.

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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.

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Independent & Dependent Events

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