A weatherman states that the probability that it will rain tomorrow is 10%, or 0.1, & the probability that it will snow is 25%, or 0.25. What is the probability that it will not rain or snow?
Table of contents
- 0. Fundamental Concepts of Algebra3h 32m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
- 4. Polynomial Functions1h 54m
- 5. Rational Functions1h 23m
- 6. Exponential and Logarithmic Functions2h 28m
- 7. Measuring Angles40m
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- 11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
- 12. Trigonometric Identities 2h 34m
- 13. Non-Right Triangles1h 38m
- 14. Vectors2h 25m
- 15. Polar Equations2h 5m
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- 17. Graphing Complex Numbers1h 7m
- 18. Systems of Equations and Matrices3h 6m
- 19. Conic Sections2h 36m
- 20. Sequences, Series & Induction1h 15m
- 21. Combinatorics and Probability1h 45m
- 22. Limits & Continuity1h 49m
- 23. Intro to Derivatives & Area Under the Curve2h 9m
21. Combinatorics and Probability
Probability
Multiple Choice
The spinner below has 6 equal regions. Find the probability of landing on yellow for the first spin and not landing on yellow on the second spin.

A
0.11
B
0.22
C
0.66
D
0.88
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Verified step by step guidance1
Count the number of yellow regions on the spinner. There are 2 yellow regions out of a total of 6 regions.
Calculate the probability of landing on yellow for the first spin. This is the number of yellow regions divided by the total number of regions: \( \frac{2}{6} \).
Simplify the fraction \( \frac{2}{6} \) to \( \frac{1}{3} \) to find the probability of landing on yellow on the first spin.
Calculate the probability of not landing on yellow on the second spin. Since there are 4 non-yellow regions, the probability is \( \frac{4}{6} \), which simplifies to \( \frac{2}{3} \).
Multiply the probability of landing on yellow on the first spin (\( \frac{1}{3} \)) by the probability of not landing on yellow on the second spin (\( \frac{2}{3} \)) to find the combined probability of these two independent events.
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