Asked by Stefan Doughty on Sep 25, 2024
Verified
If the events A and B are independent with P(A) = 0.35 and P(B) = 0.45,then the probability that both events will occur simultaneously is:
A) 0
B) 0.16
C) 0.80
D) Not enough information to tell.
P(B)
In probability, represents the likelihood or chance of a particular event B occurring.
P(A)
The probability of event A occurring in a given statistical experiment.
Independent Events
Two or more events are independent if the occurrence of one does not affect the probability of the other(s).
- Understand and define the concept of independent events in probability.
- Work out the likelihood that two given events will both occur.
Verified Answer
DO
D'Andrea Oliverabout 21 hours ago
Final Answer :
B
Explanation :
If events A and B are independent, then we can find the probability of both events occurring simultaneously by multiplying their individual probabilities. Thus, P(A and B) = P(A) × P(B) = 0.35 × 0.45 = 0.1575, which is approximately 0.16. Therefore, the best choice is B.
Learning Objectives
- Understand and define the concept of independent events in probability.
- Work out the likelihood that two given events will both occur.