You flip a coin and then roll a fair six-sided die. he coin lands heads-up and the die shows a two.

Question

Determine whether the scenario involves independent or dependent events. Then find the probability

Answer 1

To answer the first question, these are independent events. The outcome of the coin-toss cannot influence the die roll outcome in any way. For independent events, the probability is found by multiplying the odds of each independent event. To get heads on the coin has a probability of 1:2. To get a two on the die has odds of 1:6. For the combined probability, (1/2)x(1/6) = 1/12.