The sample space for the rolling of two fair dice is shown in the accompanying table. Reproduce that​ table, but replace each of the 36 equally likely ordered pairs with its corresponding sum​ (for the two​ dice). Then find the probability of rolling each sum. Complete parts​ (a) through​ (k) below.     Reproduce the table.     ​(Type whole​ numbers.) ​(a) Find the probability of rolling a 2.     ​(Type an integer or a simplified​ fraction.) ​(b) Find the probability of rolling a 3.     ​(Type an integer or a simplified​ fraction.) ​(c) Find the probability of rolling a 4.     ​(Type an integer or a simplified​ fraction.) ​(d) Find the probability of rolling a 5.     ​(Type an integer or a simplified​ fraction.) ​(e) Find the probability of rolling a 6.     ​(Type an integer or a simplified​ fraction.) ​(f) Find the probability of rolling a 7.     ​(Type an integer or a simplified​ fraction.) ​(g) Find the probability of rolling an 8.   ​(Type an integer or a simplified​ fraction.) ​(h) Find the probability of rolling a 9.     ​(Type an integer or a simplified​ fraction.) ​(i) Find the probability of rolling a 10.     ​(Type an integer or a simplified​ fraction.) ​(j) Find the probability of rolling an 11.     ​(Type an integer or a simplified​ fraction.) ​(k) Find the probability of rolling a 12.

You randomly select one card from a 52-card deck. Find the probability of selecting a face card or a 3. O A. 13 12 O B. 13 O C. 16 4 OD. 13 acer esc 4 W a # 3

In an​ experiment, college students were given either four quarters or a​ $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts​ (a) through​ b. a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)   b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)

a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur.  a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.   Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).