The video below shows one idea for using the Polypad manipulatives to explore a situation involving compound probabilities.
Target Grades5 – 7
Common Core Standards7.SP.C.8Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. (a) Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. (b) Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event. (c) Design and use a simulation to generate frequencies for compound events.