Question

A spinner 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”?

Answer 1

the answer is 1/8.     the fraction is 1/4 which is C times 1/2  

Answer 2

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

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 =
`\frac{\text{favorable events}}{\text{total events}}`

=
`(1)/(4)`

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 =
`\frac{\text{favorable events}}{\text{total events}}`

=
`(1)/(2)`

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

=
`(1)/(4) *(1)/(2)`

`=(1)/(8)`

Thus the simplified fraction representing the probability of spinning “C” and flipping “heads” is
`(1)/(8)`

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