Question

the weatherman says that there is a 48% chance of rain today. what is the probability that it will not rain today? % what are the odds that it will rain today? to what are the odds that it will not rain today? to simplify your answers.

Explanation:

Step1: Calculate probability of no - rain

The total probability is 100%. If the probability of rain is 48%, then the probability of no - rain is $100 - 48$.
$100 - 48=52$%

Step2: Calculate odds of rain

The odds of an event is the ratio of the probability of the event occurring to the probability of the event not occurring. The probability of rain $P(R)=0.48$ and the probability of no - rain $P(
eg R)=0.52$. The odds of rain is $\frac{P(R)}{P(
eg R)}=\frac{0.48}{0.52}=\frac{48}{52}=\frac{12}{13}$, so the odds of rain is 12 to 13.

Step3: Calculate odds of no - rain

The odds of no - rain is the ratio of the probability of no - rain to the probability of rain. $\frac{P(
eg R)}{P(R)}=\frac{0.52}{0.48}=\frac{52}{48}=\frac{13}{12}$, so the odds of no - rain is 13 to 12.

Answer:

Probability of no - rain: 52%
Odds of rain: 12 to 13
Odds of no - rain: 13 to 12