Asked by Ayanna Pierce on May 29, 2024
Verified
When we are trying to find the probability of the disjunction of three or more events, sometimes it is easier to determine using negation.How?
A) Find the probability that each event will not occur and then multiply those probabilities by each other.
B) Find the probability that each event will not occur, multiply those probabilities by each other, and subtract the result from 1.
C) Find the probability that each event will not occur and then add those probabilities together.
D) Find the probability that each event will not occur, add those probabilities together, and subtract the result from 1.
E) Find the probability that each event will occur, multiply them by each other, and then subtract the result from 1.
Disjunction
A logical operation that yields truth if at least one of its operands is true; often represented by the word "or".
Negation
The logical operation that inverts the truth value of a statement or proposition.
Probability
The quantification of the chances that a specific event will take place.
- Utilize negation to simplify the probability calculations of multiple event outcomes.
Verified Answer
ZK
Zybrea KnightJun 05, 2024
Final Answer :
B
Explanation :
To find the probability of the disjunction (OR) of three or more events, it can be easier to use negation. This means finding the probability that each event will not occur and then multiplying those probabilities by each other. The result can then be subtracted from 1 to get the probability of at least one of the events occurring (which is the disjunction of the events). So, the correct choice is B: find the probability that each event will not occur, multiply those probabilities by each other, and subtract the result from 1.
Learning Objectives
- Utilize negation to simplify the probability calculations of multiple event outcomes.