Darnell designed the spinner below for a game. It still has one incomplete section. .

1. Help him figure out the probability of selecting a card on any turn. Show how you got your answer.

   Hint (a):

   Notice that all three sections make up the entire spinner.
   To find the missing area, we must take into account that:
   spin again $+$ lose a turn $+$ select a card $= 1$ whole spinner

   Help (a):

   $\frac{1}{4} + \frac{5}{12} + ? = 1$

   More Help (a):

   Rearrange this equation to solve for the unknown.

   Answer (a):

   $1 - \frac{1}{4} - \frac{5}{12} =\frac{1}{3}$

2. What is the probability that on any turn you will not get to spin again?

   Hint (b):

   What is the probability of spinning again? What is the sum of the probabilities that do not allow spinning again?

   More Help (b):

   $1 −$ the probability of spin again $=$ ?
   $1 - \frac{1}{4} = ?$

   Answer (b):

   $\frac{3}{4}$

3. Which is more likely: to lose a turn or to select a card? Show how you know.

   Hint (c):

   What is the probability of losing a turn? What about selecting a card?

   Help (c):

   $\frac{5}{12} \text{ and } \frac{1}{3}$

   More Help (c):

   Which of these probabilities is higher?