SOLUTION: A die 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 die is tossed once, find the probability that a) the numbe

Algebra ->  Probability-and-statistics -> SOLUTION: A die 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 die is tossed once, find the probability that a) the numbe      Log On


   

Question 1078013: A die 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 die 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%283%29=P%284%29=P%286%29
P%285%29=3%2AP%283%29
P%281%29=2%2AP%285%29=6%2AP%283%29
P%282%29=6%2AP%283%29
And,
P%281%29%2BP%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29=1
6%2AP%283%29%2B6%2AP%283%29%2BP%283%29%2BP%283%29%2B3%2AP%283%29%2BP%283%29=1
%286%2B6%2B1%2B1%2B3%2B1%29P%283%29=1
18%2AP%283%29=1
P%283%29=P%284%29=P%286%29=1%2F18
So then,
P%285%29=5%2F18
P%281%29=P%282%29=1%2F3
.
.
.
{2,4,6}
P=P%282%29%2BP%284%29%2BP%286%29
P=1%2F3%2B1%2F18%2B1%2F18
P=8%2F18
P=4%2F9
.
.
.
{1,4}
P=P%281%29%2BP%284%29
P=1%2F3%2B1%2F18
P=7%2F18
.
.
.
{5,6}
P=P%285%29%2BP%286%29
P=5%2F18%2B1%2F18
P=6%2F18
P=1%2F3