A recent report said that 60% of all California adults have a passport. Three California adults are selected at random. What is the probability that all three have a passport. (Since they are selected at random, and the population of California is huge compared to the sample size of 3, you can assume that whether one has a passport is independent of whether another has a passport.

Question

anonymous · Answer

We want to start out asking, what is the chance of picking 1 person at random with a passport. Well its pretty obvious that if we ask one person, the odds are 60%. So for any 1 person that I ask, there is a 60% chance. Now, if I choose two people, they each only have a 60% chance. Here is how a table of that would look:|dw:1380478156144:dw|

anonymous · Answer

This shows up that for any probability, we times the probabilities together. For example, two people chosen at random, we have a 36% chance that they both have passports (60%*60%)

If we wanted to calculate the possibility of three people, all without passport, it would be (40%*40%*40%)=6.4%

anonymous · Answer

So, three people all with passports would be 60%*60%*60% = (0.6*0.6*0.6) = 0.216 = 21.6%

anonymous · Answer

oh wowzers that's simple lol!

anonymous · Answer

are you sure that's really simple o:

anonymous · Answer

Yes, im sure lol

anonymous · Answer

cool thnx!