(Solved): 2. Flipping a Coin - What are the Possibilities? You flip a coin 4 times. The tree diagram below sh ...

2. Flipping a Coin - What are the Possibilities? You flip a coin 4 times. The tree diagram below shows all possibilities for the outcomes of the four-coin tosses. lice the tree diagram to answer the following questions. a. (4 pts) There are possible outcomes in the sample space. b. (6 pts) List the sample space. (Remember that the sample space is a set and should go in braces, (1).) c. (16 pts) For each event below, do the following: i. List the outcome(s) in the event (Use braces.) ii. Find the probability of each event (Show answer as both a fraction and a decimal). Round decimals to 4 decimal places, if applicable. A. $P($ Exactly 3 heads $)=$ B. $P$ (at least 3 heads $)=$ C. $P(2$ or fewer heads $)=$ D. $P($ No heads $)=$ d. (4 pts) When flipping the coin four times, find the probability of getting at least one head. Show or explain how you got your answer.