The portal has been deactivated. Please contact your portal admin.

Question Video: Determining the Difference of Two Events Mathematics

The following Venn diagram shows two events, 𝐴 and 𝐡. Determine (𝐴 βˆ’ 𝐡).

01:33

Video Transcript

The following Venn diagram shows two events 𝐴 and 𝐡. Determine 𝐴 minus 𝐡.

In order to answer this question, we will begin by listing the elements in event 𝐴 and event 𝐡. Circle 𝐴 in the Venn diagram contains the integers one, two, three, five, and eight. And we can write these elements using set notation as shown. In the same way, event 𝐡 contains the integers one, three, four, six, and nine. Two of these numbers, one and three, appear in both sets. This means that the intersection of 𝐴 and 𝐡 contains the numbers one and three.

In this question, we are trying to determine 𝐴 minus 𝐡. This is all the elements that are in set 𝐴 but not set 𝐡. 𝐴 minus 𝐡 is therefore the set containing the numbers two, five, and eight. This leads us to the difference rule, which states that 𝐴 minus 𝐡 is equal to 𝐴 minus 𝐴 intersection 𝐡. We can also use this rule to help determine probabilities of events.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.