Cameron flips two coins and then spins the spinner below. A spinner with 4 equal sections labeled 1 through 4. What is the probability of having two different outcomes on the coins and spinning an odd number? StartFraction 1 over 16 EndFraction StartFraction 1 over 8 EndFraction One-fourth One-half

Respuesta :

Answer: One -Half.

Step-by-step explanation:

Total outcomes for tossing two coins =4    [ {TT, HH, TH, HT}]

Total outcomes for spinning spinner = 4   [{1,2,3,4}]

Total outcomes in the experiment = 4 x 4 = 16

Favorable outcome =Two different outcomes on coins and spinning an odd number = {(TH, 1), (TH, 3), (TH, 5), (HT,1), (HT,3), (HT,5)}

i.e. Number of favorable outcomes = 6

Required probability = [tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{8}{16}=\dfrac12[/tex]

Hence, required probability = One -Half.