1) A single die is rolled twice. The set of 36 equally likely
outcomes is {(1,...
1) A single die is rolled twice. The set of 36 equally likely
outcomes is {(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,...
(a) If you roll a single die and count the number of dots on
top, what...
(a) If you roll a single die and count the number of dots on
top, what is the sample space of all possible outcomes? Are the
outcomes equally likely?
0, 1, 2, 3, 4, 5, 6; not equally likely
0, 1, 2, 3, 4, 5, 6; equally likely
1, 2, 3, 4, 5, 6; not equally likely
1, 2, 3, 4, 5, 6; equally likely
(b) Assign probabilities to the outcomes of the sample space of
part (a). (Enter your...
Suppose that a die is loaded so that p(1) = .05, p(2) = .25,
p(3) =...
Suppose that a die is loaded so that p(1) = .05, p(2) = .25,
p(3) = .30, p(4) = .05, p(5) = .10, and p(6) = .25. What is the
probability that out of 18 rolls of the die, there are three 1's,
two 2's, four 3's, five 4's, one 5, and three 6's? Show your
work.
You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}....
You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You
define A as {1, 3, 4}, B as {1, 2, 3, 4, 6}, C as {1, 6}, and D as
{2, 5, 6}. Determine which of the following events are exhaustive
and/or mutually exclusive.
A&B
A&C
A&D
B&C