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”? p(spinning c and flipping heads) =

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

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

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