205k views
4 votes
Let S={5,6,15} be a sample space associated with an experiment.

(a) List all events of this experiment.
∅,{5},{6},{15},{5,6},{5,15},{6,15},{5,6,15}
{5,6},{5,15},{6,15},{5,6,15}
{5},{6},{15},{5,6},{5,15},{6,15
}∅,{5,6},{5,15},{6,15},{5,6,15
}∅,{5},{6},{15},{5,6},{5,15},{6,15}
{5},{6},{15},{5,6},{5,15},{6,15},{5,6,15}​
(b) How many subsets of S contain the number 15 ? subsets
(c) How many subsets of S contain the number 6 or the number 15? subsets

User Arya
by
8.3k points

1 Answer

4 votes

Final answer:

The student is asked to list all events of an experiment with a sample space S = {5, 6, 15}, determine subsets containing 15, and subsets containing the number 6 or 15. There are a total of 8 possible events. There are 4 subsets containing the number 15, and there are 6 subsets that contain the number 6 or 15.

Step-by-step explanation:

The student is working on a probability problem involving the calculation of various events and their probabilities from a given sample space. In particular, the student needs to calculate events, the number of subsets containing certain numbers, and probabilities associated with these events.

Let S = {5, 6, 15} be the sample space of all outcomes from an experiment. The possible events from this sample space are:

  • ∅ (the empty set)
  • {5}
  • {6}
  • {15}
  • {5, 6}
  • {5, 15}
  • {6, 15}
  • {5, 6, 15} (the sample space itself)

To answer part (b) of the question, the number of subsets of S that contain the number 15 are 4, which are {15}, {5, 15}, {6, 15}, and {5, 6, 15}.

To answer part (c), the number of subsets of S that contain the number 6 or the number 15 are 6. These subsets include {6}, {15}, {5, 6}, {6, 15}, {5, 15}, and {5, 6, 15}.

User EfForEffort
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories