For each situation below, write the indicated probability.

1. A coin is flipped $80$ times. It lands "tails" $47$ times. Based on this data, what is the experimental probability that the coin will land on heads?

   Help (a):

   Hint (a):

   If the coin landed on tails 47 times out of a total of $80$ times, how many times did the coin land on heads?

2. A bag contains purple and orange marbles. Samantha randomly takes out one marble, and then returns it to the bag. She does this $18$ times, and $12$ of those times an orange marble is pulled out. For her experiment, what is the probability that she will pull out a green marble? .

   Help (b):

   See part (a).

   Hint (b):

   Read the situation carefully. How many green marbles are in the bag?

   Answer (b):

   The probability is $0$ because there are no green marbles in the bag.

3. Sarina pulls a playing card from a standard deck and then replaces it. She does this $30$ times, and $40\%$ of the time it is hearts. Based on these results, what is the probability that she will not pull a heart out of the deck?

   Help (c):

   The probability of not pulling a heart out of the deck can also be considered as the probability of pulling a card that is not a heart.

   Hint (c):

   If she pulled hearts $40\%$ of the time out of $30$ attempts, how many hearts did she draw?

   $\frac{4}{10}\cdot 30= ?$

   Based on this number and the total number of cards, find the number of non-hearts that she drew and find its probability.

   Answer (c):

   $60\% \text{ or }\frac{18}{30}$