4) Using the same coin in the question above, what is the probability of flippin

Question

4) Using the same coin in the question above, what is the probability of flipping a head on the 4th try?

5) Craps is a commong game played by rolling two dice with faces numbered 1 through 6. The shooter rolls the two dice to start the game. If the sum of the two dice is either 7 or 11 the shooter wins. If the sume is 2,3 or 12 it is craps and he loses. If the sum is any of the other number he establishes his point. This point becomes a winning number for future rolls.

6) Create a probability table for each of the 11 point totals for the game craps. Keep in mind that there are multiple ways that two dice can add up to the various numbers. For instance a total of 6 can be made in 5 ways: 5/1, 4/2, 3/3, 2/4, 1/5.

Explanation / Answer

4) Considering the coin to be unbiased as nothing is mentioned.

Probability of getting a head in 4th try is independent of the previous tries:

Thus probability of getting head =1/2

5)Nothing to answer, it's just explanation for part 6

6) Total no of possible outcomes = 6*6 =36

Probability table

Number. Ways Probability

2. ( 1,1). 1/36

3. (1,2),(2,1). 1/18

4 (1,3),(3,1),(2,2) 1/12

5 . (1,4),(4,1),(2,3),(3,2). 1/9

6 (1,5),(5,1),(2,4),(4,2),(3,3) 5/36

7 (1,6),(6,1),(2,5),(5,2),(4,3),(3,4). 1/6

8 (2,6),(6,2),(3,5),(5,3),(4,4) . 5/36

9 (3,6),(6,3),(4,5),(5,4) . 1/9

10 . (4,6),(6,4),(5,5) 1/12

11. (5,6),(6,5). 1/18

12. (6,6) 1/36

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