The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the probability that fewer than 2 of them are unemployed.

A recent survey showed that 17% of community college students experienced at least some homelessness during their first year at a community college. Surveys also show that 80% of community college students need to take English their first year at a CC. Based on these surveys what is the probability of first year CC students experiencing at least some homeless during their first year and taking an English class? Show the formula, the math plug-ins, and answer.

In a large city’s recent mayoral election, 126,519 out of 283,143 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that exactly 8 of them voted in the mayoral election. Use Excel to find the probability, Round your answer to three decimal places.

In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal (to at least 3 places) or fraction.