University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

407

Pages:

3
Author:

Milagros W

Independent & Dependent Events In your own words, write the meaning of each vocabulary term. Independent events: Is when one event does not influence/change the next event. It's like dice/decks "put back" or "replace" Dependent events: Is when one event does influence/change the next event. It's like donuts/decks "take out" or "remove" Conditional probability: Is the probability that an event B happens given that event A has occurred. Core Concepts Probability of Independent Events Words: Two events A and B are independent events if and only if the probability that both events occur is the product of the probabilities of the events. Symbols: P(A and B) = P(A) * P(B) "One does not affect the other" Probability of Dependent Events Words: If two events A and B are dependent events, then the probability that both events occur is the product of the probability of the first event and the conditional probability of the second event given the first event. Symbols: P(A and B) = P(A) * P(B|A) Example In a classroom, there are 9 girls and 3 boys. What are the chances that President and Vice President are girls? P(first girl and second girl) = P(first girl) * P(second girl | first girl) = (9/12) * (8/11) = 72/132 = 6/11 = 0.545