Respuesta :
As they are independent we multiply the individual probabilities:-
P(a and b) = 0.3 * 0.4 = 0.12 (answer)
Answer: The correct option is (B) 0.12.
Step-by-step explanation: Given that the probability that event A occurs is 0.3 and the probability that event B occurs is 0.4.
We are given to find the probability that events A and B occur together, if they are independent events.
According to the given information, we can write
[tex]P(A)=0.3,~~P(B)=0.4,~~~P(A\cap B)=?[/tex]
Since A and B are independent events, so we must have
[tex]P(A\cap B)=P(A)\times P(B)=0.3\times 0.4=0.12.[/tex]
Thus, (B) is the correct option.
