a student wants to check six websites. four of the websites are social and two are school - related. after…
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?\n0.042\n0.267\n0.533\n0.667
Answer
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 $P_1=\frac{4}{6}$.
Step2: Calculate probability of second - school - related website
After choosing a social website first, there are 5 websites left and 2 school - related websites. So the probability of choosing a school - related website second is $P_2 = \frac{2}{5}$.
Step3: Calculate combined probability
Since these are independent events in sequence, the probability of both events occurring is the product of their probabilities. So $P = P_1\times P_2=\frac{4}{6}\times\frac{2}{5}=\frac{8}{30}\approx0.267$.
Answer:
0.267