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.