MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
During a 90-day weather study at a hill station, the following events were recorded for any randomly chosen day:
R : "It rained"
T : "Thunder was heard".
It was found that P(R)=0.55, P(T)=0.30 and P(R∩T)=0.18.
(i) Calculate the probability that it either rained or thunder was heard on a given day.
(ii) Find the probability that it rained without any thunder on a given day.
(iii) Determine the probability that a day experienced neither rain nor thunder.