Posted by AmmanJordan on .
A die has one red face, two blue faces, and three green faces. It is rolled 5 times. Find the chance that the red face appears on one of the rolls and the remaining rolls are green.
[Careful what you multiply. The most straightforward method is to follow the derivation of the binomial formula.]

Statistics 
PsyDAG,
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
(1/6)(3/6)^4 = ? 
Statistics 
Nolan concha,
0.052

Statistics 
Frank,
C(5,1)*(1/6)*(3/6)^4=0.05208333

Statistics 
AmmanJordan,
Thanks friends, correct

Statistics 
Frank,
To get an A grade on the test, you need a total score of more than 16 points. One of the students knows the correct answer to 6 of the 20 questions. The rest she guesses at random by tossing a coin (one toss per question, as in 4B). What is the chance that she gets an A grade on the test?

Statistics 
seriously,
You guys crack me up.

Statistics 
Nolan concha,
0.0287

Statistics 
Clair,
In a population of 500 voters, 40% belong to Party X. A simple random sample of 60 voters is taken. What is the chance that a majority (more than 50%) of the sampled voters belong to Party X?

Statistics 
Mik,
Nolan concha do you have?
In a population of 500 voters, 40% belong to Party X. A simple random sample of 60 voters is taken. What is the chance that a majority (more than 50%) of the sampled voters belong to Party X?