Asked by Felicia Crespo on Sep 25, 2024
Verified
If A and B are disjoint events with P(A) = 0.70,then P(B) :
A) can be any value between 0 and 1
B) can be any value between 0 and 0.70
C) cannot be larger than 0.30
D) cannot be determined with the information given
Disjoint Events
Two events that cannot occur at the same time, implying they have no outcomes in common.
P(B)
Represents the probability of the occurrence of event B in probability and statistics.
- Identify the differences between events that are mutually exclusive (disjoint) and those that are non-mutually exclusive.
Verified Answer
BS
Binish Shehzadi2 days ago
Final Answer :
C
Explanation :
If A and B are disjoint events, it means they have no common outcomes. Therefore, the probability of the union of those events is the sum of their probabilities. Since P(A) = 0.70, and A and B are disjoint, P(A or B) = P(A) + P(B) = 0.70 + P(B) ≤ 1. This means P(B) ≤ 0.30, so the correct answer is C.
Learning Objectives
- Identify the differences between events that are mutually exclusive (disjoint) and those that are non-mutually exclusive.