Question
Probability models: Equally likely outcomes
PROBLEM: Suppose you spin a spinner with three equal sections (red, blue, and
yellow) two times.
(a) Give a probability model for this chance process:
(b)Define event A as spinning blue at least once. Find
.
PROBLEM: Suppose you spin a spinner with three equal sections (red, blue, and
yellow) two times.
(a) Give a probability model for this chance process:
(b)Define event A as spinning blue at least once. Find
Ask by Norton Vega. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Probability Model:
- Total outcomes: 9
- Each outcome has a probability of
.
(b) Probability of Event A (
):
Solution

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Bonus Knowledge
When you spin a spinner with three equal sections (red, blue, and yellow) two times, each section has a probability of 1/3. The sample space for this chance process consists of nine equally likely outcomes: (Red, Red), (Red, Blue), (Red, Yellow), (Blue, Red), (Blue, Blue), (Blue, Yellow), (Yellow, Red), (Yellow, Blue), (Yellow, Yellow).
To find
, define event A as spinning blue at least once. The total possible outcomes are 9, and the outcomes where blue appears at least once are: (Red, Blue), (Blue, Red), (Blue, Blue), (Blue, Yellow), (Yellow, Blue). That gives us 5 favorable outcomes. Therefore,
.