The spinner below has 6 equal colored regions numbered 1-6. Find the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin.
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
10. Combinatorics & Probability
Probability
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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?
A
0.35
B
0.65
C
0.75
D
0.90

1
Understand that the probability of an event not occurring is equal to 1 minus the probability of the event occurring.
Calculate the probability that it will not rain by subtracting the probability of rain from 1: \( P(\text{not rain}) = 1 - P(\text{rain}) = 1 - 0.1 \).
Calculate the probability that it will not snow by subtracting the probability of snow from 1: \( P(\text{not snow}) = 1 - P(\text{snow}) = 1 - 0.25 \).
To find the probability that it will neither rain nor snow, multiply the probabilities of each event not occurring: \( P(\text{not rain and not snow}) = P(\text{not rain}) \times P(\text{not snow}) \).
Perform the multiplication to find the final probability: \( P(\text{not rain and not snow}) = (1 - 0.1) \times (1 - 0.25) \).
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