A particular community wants to address the problem of racial conflict in the lo
ID: 3127084 • Letter: A
Question
A particular community wants to address the problem of racial conflict in the local school. They mayor decides to set up a three-person commission of residents to advise him. To be completely fair in the selection process, the mayor decides to choose the commission members at random, designating the first selection as the char. The racial-ethnic composition of the community is 50% white, 30% black, and 20% Latino.
What is the probability all three commission members are black?
A particular community wants to address the problem of racial conflict in the local school. They mayor decides to set up a three-person commission of residents to advise him. To be completely fair in the selection process, the mayor decides to choose the commission members at random, designating the first selection as the char. The racial-ethnic composition of the community is 50% white, 30% black, and 20% Latino.
What is the probability all three commission members are black?
Explanation / Answer
A particular community wants to address the problem of racial conflict in the local school. They mayor decides to set up a three-person commission of residents to advise him. To be completely fair in the selection process, the mayor decides to choose the commission members at random, designating the first selection as the char. The racial-ethnic composition of the community is 50% white, 30% black, and 20% Latino.
What is the probability all three commission members are black?
probability one commission member is black = 0.3
probability all three commission members are black =0.3*0.3*0.3=0.027