Mathematics
Mathematics
Problem
A fair coin is tossed once and a fair die is thrown once. Event : getting a head on the coin. Event : getting a number greater than on the die. Which event is more likely? a) Event b) Event c) Both are equally likely d) Cannot be comparedIntuitive explanation
The key insight is that independence means you can evaluate each event separately without worrying about how they interact. Event depends only on the coin flip, and event depends only on the die roll—they don't affect each other. Calculate the probability of each event by counting favorable outcomes over total outcomes, then compare the two numbers directly.
Intuitive explanation
The key insight is that independence means you can evaluate each event separately without worrying about how they interact. Event depends only on the coin flip, and event depends only on the die roll—they don't affect each other. Calculate the probability of each event by counting favorable outcomes over total outcomes, then compare the two numbers directly.