Question

1) For the given decision algorithm, find how many outcomes are possible.

Step 1:   Step 2:

Alternative 1: 1 outcome Alternative 1: 5 outcomes

Alternative 2: 3 outcomes Alternative 2: 3 outcomes

Alternative 3: 3 outcomes

2) A bag contains three red marbles, two green ones, one lavender one, two yellows, and four orange marbles.

How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?

3) If a die is rolled 25 times, there are 6²⁵ different sequences possible. The following question asks how many of these sequences satisfy certain conditions.

What fraction of these sequences have exactly five 1s? (Round your answer to four decimal places.)

Answer 1