Question

s3 l1 1. determine whether the scenario involves independent or dependent events. you flip a coin five times and then roll a fair six - sided die five times. s3 l1 2. determine whether the scenario involves independent or dependent events. a box of chocolates contains three (3) milk chocolates, three (3) dark chocolates, and four (4) white chocolates. you randomly select and eat three chocolates, one at a time without replacement. the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.

Explanation:

Step1: Define independent and dependent events

Independent events: The outcome of one event does not affect the outcome of another event. Dependent events: The outcome of one event affects the outcome of another event.

Step2: Analyze the coin - flip and die - roll scenario

When you flip a coin five times and roll a six - sided die five times, the result of each coin flip is not affected by the results of other coin flips or die rolls, and the result of each die roll is not affected by the coin flips or other die rolls. So these are independent events.

Step3: Analyze the chocolate - selection scenario

There are a total of \(3 + 3+4=10\) chocolates initially. When you select the first chocolate (a milk chocolate), then for the second selection, the number of chocolates and the composition of different types of chocolates have changed since you are selecting without replacement. So the probability of the second chocolate being dark and the third being white is affected by the first selection. These are dependent events.

Answer:

S3 L1.1: Independent
S3 L1.2: Dependent