SOLUTION: a) A pair of fair dice is rolled ten times. Find the probability that �seven� will show at least once. b) A pair of fair dice are rolled. What is probability that the second die l

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Question 421491: a) A pair of fair dice is rolled ten times. Find the probability that �seven� will show at
least once. b) A pair of fair dice are rolled. What is probability that the second die lands on a
higher value than does the first?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
a) A pair of fair dice is rolled ten times.
Find the probability that �seven� will show at least once.
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P(at least one 7 in 10) = 1 - P(no 7's in 10)
= 1 - (5/6)^10
= 1 - 0.1615
= 0.8385
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b) A pair of fair dice are rolled. What is probability that the second die lands on a higher value than does the first?
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Expected value of 1st roll = (1+2+3+4+5+6)/6 = 21/6 = 7/2 = 3.5
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P(2nd roll is more than 3.5) = P(4 or 5 or 6) = 3/6 = 1/2
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Cheers,
Stan H.