Answer: Event A is more likely to occur.
Step-by-step explanation:
The odds is the ratio of the number of outcomes support event will occur to the number of outcomes support event will not occur.
Given : For any events A and B , we have
The odds in favor of event A are 2 to 1.
i.e. [tex]\dfrac{\text{Event A occur}}{\text{Event A will not occur}}=\dfrac{2}{1}[/tex]
Probability of having A= [tex]P(A)=\dfrac{2}{1+2}=\dfrac{2}{3}[/tex]
The odds against event B are 2 to 1.
i.e. [tex]\dfrac{\text{Event B will not occur}}{\text{Event B will occur}}=\dfrac{2}{1}[/tex]
Probability of having B= [tex]P(B)=\dfrac{1}{1+2}=\dfrac{1}{3}[/tex]
Since , [tex]P(A)>P(B)[/tex] as [tex]\dfrac{2}{3}>\dfrac{1}{3}[/tex]
Therefore , the event A is more likely to occur .
