Final answer:
Alice and Bob's game and Didi and Ali's scenario at a birthday party both illustrate the mathematical concept of probability, which is used to measure the likelihood of different outcomes in scenarios that involve chance.
Step-by-step explanation:
Probability in Games
In the context of games, probability plays a significant role in determining the likelihood of different outcomes. For example, Alice and Bob might be playing a game where the outcome depends on chance, such as drawing a card from a deck or rolling dice. Similarly, Didi and Ali's scenario at the birthday party involves determining the probability of selecting the one bubble containing a $100 bill out of 200 bubbles. The calculation for this probability is straightforward: there is one favorable outcome, the bubble with the money, and 199 unfavorable outcomes, the empty bubbles. Thus, the probability (P) is calculated by dividing the number of favorable outcomes by the total number of outcomes, which in Didi's case is
P = 1/200 = 0.005.
Events like these are examples of how probability is used to predict the chance of a particular event occurring. Understanding these concepts is essential for analyzing games of chance or real-life events involving random processes.