8. a month is randomly chosen. what is the probability that the month chosen has less than 31 days?
8. a month is randomly chosen. what is the probability that the month chosen has less than 31 days?
Answer
Explanation:
Step1: Determine total number of months
There are 12 months in a year. So $n_{total}=12$.
Step2: Count months with less than 31 days
Months with less than 31 days are April, June, September, November (4 months) and February (1 month, ignoring leap - year variations for simplicity). So $n_{less - 31}=4 + 1=5$.
Step3: Calculate probability
The probability $P$ is given by the formula $P=\frac{n_{less - 31}}{n_{total}}$. Substituting the values, we get $P=\frac{5}{12}$.
Answer:
$\frac{5}{12}$