Respuesta :
Answer:
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 = [tex]\frac{\text{favorable events}}{\text{total events}}[/tex]
= [tex]\frac{1}{4}[/tex]
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 = [tex]\frac{\text{favorable events}}{\text{total events}}[/tex]
= [tex]\frac{1}{2}[/tex]
The probability of spinning “C” and flipping “heads”
= [tex]\frac{1}{4} *\frac{1}{2}[/tex]
[tex]=\frac{1}{8}[/tex]
Thus the simplified fraction representing the probability of spinning “C” and flipping “heads” is [tex]\frac{1}{8}[/tex]
The denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads” is 8
