SOLUTION: A die is constructed so that the even numbers are twice as likely to occur as odd numbers in a single toss, find the probability that :
a.) An even number appears
b.) a prime num
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-> SOLUTION: A die is constructed so that the even numbers are twice as likely to occur as odd numbers in a single toss, find the probability that :
a.) An even number appears
b.) a prime num
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Question 1067191: A die is constructed so that the even numbers are twice as likely to occur as odd numbers in a single toss, find the probability that :
a.) An even number appears
b.) a prime number appears
c.) an odd prime number appears Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! Its best to start with what the probabilities for even & odd tosses are:
x = prob. of tossing an odd #
x + 2x = 1 —> 3x = 1 —> x = 1/3, 2x = 2/3
Pr{even number tossed} = 2/3, —> Pr{2} = Pr{4} = Pr{6} = (2/3)/3 = 2/9
Pr{odd number tossed} = 1/3, —> Pr{1} = Pr{3} = Pr{5} = (1/3)/3 = 1/9
—
a) Pr { even number appears } =
b) Pr { prime number appears } = Pr{2,3,5} = (2/9) + (1/9) + (1/9) =
c) Pr { odd prime appears } = Pr{3,5} = (1/9) + (1/9) =
