There are 2 * 6 or 12 outcomes for flipping a coin and spinning a spinner that has 6 different colored sections.
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The sample space is H1, H2, H3, H4, H5, T1, T2, T3, T4, T5.
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We say that these are independent events, meaning that the outcome of rolling the cube does not influence what outcome of rotating the spinner. For each outcome of rolling the cube there are 10 outcomes from the spinner. We can therefore, multiply the numbers of possibilities: 6 * 10 = 60 One way of seeing this is to list the possible outcomes : C1 S1 C1 S2 C1 S3 . . . C1 S10 Notice that there are 10 spinner possibilities for one cube event. There are 5 more possible cube events, hence, 50 combination events.