Video Transcript
The diagram represents the sample
space 𝑆 and the events 𝐴, 𝐵, and 𝐶. Determine the probability of 𝐴
intersection 𝐵.
We recall that the intersection of
two events 𝐴 and 𝐵 are those outcomes that occur in event 𝐴 and in event 𝐵. On a Venn diagram, this is
represented by the overlap of circle 𝐴 and circle 𝐵. We can see from the Venn diagram
that the sample space 𝑆 contains the numbers four six, eight, 16, 18, and 19. This is a total of six
outcomes. Of these six outcomes, only one
appears in the intersection of event 𝐴 and event 𝐵, the number six. We know that the probability of an
event occurring can be written as the number of successful outcomes over the number
of possible outcomes. This means that the probability of
𝐴 intersection 𝐵 is one out of six. There is a one in six chance of
selecting an outcome that is in event 𝐴 and in event 𝐵.
