<h2>
Answer:</h2>
The denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads” is: 8
and P(spinning C and flipping heads) =1/8
<h2>
Step-by-step explanation:</h2>
A spinner has 4 equally-sized sections, labeled A, B, C, and D.
We firstly spun the spinner and then a fair coin is tossed.
Total number of outcomes are:
4×2=8
( since, any of the four letters could be obtained out of A,B,C and D
and when a coin is tossed then there are just two outcomes Heads and Tail )
We know that the probability of an outcome is the ratio of the number of favorable outcomes to the total number of outcomes.
Hence, we get:
P(spinning C and flipping heads) = 1/8
( since, there is just one outcome out of 8 outcomes such that C and heads come up.
Let H denotes the head and T denotes the tail.
The sample space is:
(A,H) (A,T)
(B,H) (B,T)
(C,H) (C,T)
(D,H) (D,T) )
Hence, the denominator is: 8