Aspinner has 4 equally-sized sections, labeled a, b, c, and d. it is spun and a fair coin is tossed. what is the denominator of the simplified fraction representing the probability of spinning “c” and flipping “heads”?

The denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads” is 8

Step-by-step explanation:

Given : A spinner has 4 equally-sized sections, labeled A, B, C, and D. It is spun and a fair coin is tossed.

To Find: What is the denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads”?

Solution:

Since a spinner is spin

Total no. of events = {A,B,C,D}=4

Since we are given that the spinner must show C when it is spin

So, favorable events ={C}=1

Thus probability of getting C =

=

since the coin is tossed

Total no. of events = {H,T}=2

Since we are given that the coin must show H when it is tossed

So, favorable events ={H}=1

Thus probability of getting H =

=

The probability of spinning “C” and flipping “heads”

=  

Thus the simplified fraction representing the probability of spinning “C” and flipping “heads” is  

The denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads” is  8