Question

1. a weather forecast predicts a 33% chance of rain tomorrow. what are the odds in favour of it raining tomorrow?

a 1:2
b 1:3
c 2:1
d 3:1

Explanation:

Step1: Calculate the probability of non - rain

The probability of rain $P(R)=0.33$. The probability of non - rain $P(\overline{R}) = 1 - 0.33=0.67$.

Step2: Calculate the odds in favor of rain

The odds in favor of an event $E$ is given by $\frac{P(E)}{P(\overline{E})}$. So, the odds in favor of rain is $\frac{0.33}{0.67}\approx\frac{1}{2}$.

Answer:

A. 1:2