Textbook Question
A die is rolled. Find the probability of getting a number less than 5.
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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
Verified step by step guidance1
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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