Mickael saltwood can paint 138 doors in 10 hours, while scott kepler can paint 59 doors in 5 hours. who can paint doors faster, mickael or scott?

symmetric

Step-by-step explanation:

First we find the sample space of rolling two dice:

(1, 1); (1, 2); (1, 3); (1, 4); (1, 5); (1, 6)

(2, 1); (2, 2); (2, 3); (2, 4); (2, 5); (2, 6)

(3, 1); (3, 2); (3, 3); (3, 4); (3, 5); (3, 6)

(4, 1); (4, 2); (4, 3); (4, 4); (4, 5); (4, 6)

(5, 1); (5, 2); (5, 3); (5, 4); (5, 5); (5, 6)

(6, 1); (6, 2); (6, 3); (6, 4); (6, 5); (6, 6)

We want the difference of the dice; this gives us the sample space

0; -1; -2; -3; -4; -5;

1; 0; -1; -2; -3; -4;

2; 1; 0; -1; -2; -3;

3; 2; 1; 0; -1; -2

4; 3; 2; 1; 0; -2

5; 4; 3; 2; 1; 0

This makes the probability distribution:

X      5       4       3       2        1        0        -1       -2      -3       -4      -5

P(X)  1/36  2/36  3/36 4/36  5/36  6/36  5/36  4/36  3/36  2/36  1/36

Looking at the probabilities, we can see that the distribution is symmetric.