Final answer:
Suppose that A and B are independent events, P(A)=.3 and P(A∩B)=.06, P(B) = 0.018
Step-by-step explanation:
Probability is a branch of mathematics that deals with the likelihood or chance of events occurring. It provides a way to quantify uncertainty and randomness. The probability of an event is a number between 0 and 1, where 0 indicates that the event will not occur, and 1 indicates that the event will definitely occur.
To determine the probability of event B, we can use the formula P(B) = P(A) * P(B|A). Since A and B are independent events, P(B|A) is equal to P(B). From the given information, we know that P(A) = 0.3 and P(A∩B) = 0.06.
So, P(B) = P(A) * P(B|A) = 0.3 * P(B) = 0.3 * 0.06 = 0.018.