# Statistics

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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.]

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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 = ?

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0.052

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

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Thanks friends, correct

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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?

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You guys crack me up.

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0.0287

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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?

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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?