SOLUTION: A dice is constructed so that as 1 or 2 occurs twice as often a 5, which occurs 3 times as often as a 3, 4 or 6. If the dice is tossed once, find the probability that a) the numb

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Question 1078049: A dice is constructed so that as 1 or 2 occurs twice as often a 5, which occurs 3 times as often as a 3, 4 or 6. If the dice is tossed once, find the probability that
a) the number is even
b) the number is a perfect square
c) the number is grater than 4
Answer by KMST(5328) About Me  (Show Source):
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Since 1%2A3%2B3%2A1%2B6%2A2=18 ,
the probability of a 3, a 4, or a 6 is 1/18 for each number;
the probability of a 5 is 3/18=1/6,
and the probability of a 1, or a 2, is 6/18=1/3 for each number.
a) The probability of an even number
is the probability of a 2, or a 4, or a 6:
6/18+1/18+1/18=8/18=4/9 .
b) The probability of a perfect square
is the probability of 4, which is 1/18 .
c) The probability of a nl number greater than 4
is the probability of 5 or 6, which is
3/18+1/18=4/18=2/9 .