Question

a student wants to check six websites. four of the websites are social and two are school - related. after checking just two sites, she has to leave for school. what is the approximate probability that she checked a social website first, then a school - related website? 0.042 0.267 0.533

Explanation:

Step1: Calculate probability of first - social website

The probability of choosing a social website first is the number of social websites divided by the total number of websites. There are 4 social websites and 6 total websites. So the probability $P_1=\frac{4}{6}=\frac{2}{3}$.

Step2: Calculate probability of second - school - related website

After choosing a social website first, there are 5 websites left, and 2 of them are school - related. So the probability of choosing a school - related website second is $P_2 = \frac{2}{5}$.

Step3: Calculate combined probability

Since these are independent - like sequential events, the probability of both events occurring is the product of their individual probabilities. So $P=P_1\times P_2=\frac{2}{3}\times\frac{2}{5}=\frac{4}{15}\approx0.267$.

Answer:

0.267