A family of Microsoft relational database management systems designed for ease of use.
As you want to restrict the results on the ProjectClosed column in Project having a value of FALSE I think the query would be:
SELECT ContactName AS ContactID,
COUNT(*) AS NumberOfParticipations
FROM Participation INNER JOIN Project
ON Participation.CMICjobNumber = Project.ProjectID
WHERE NOT ProjectClosed
GROUP BY ContactName;
I'm assuming that the ParticipationDate values are distinct per ContactName in Participation.
If you save the second query as qryParticipationCount say, you'd need to return the ContactID column from the Pepper Contact List table in your existing query, from which the Participation table would now be omitted with:
ON qryParticipationCount.ContactID = [Bonus Calc Query].ContactID
and return the NumberOfParticipations column in the final query's result table.