Meteorological records for a city show that the probability of rain in the morning on…
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Meteorological records for a city show that the probability of rain in the morning on any given day is 0.3, while the probability of rain in the evening of the same day is 0.4. Assume these two events are independent.
(i) Calculate the probability that it rains at least once (morning or evening) on a randomly chosen day.
(ii) Calculate the probability that it rains exactly once on that day.
(iii) Calculate the probability that it does not rain at all on that day.