TAM 310 Advanced Engineering Analysis I
Spring 2008
Prof.R.Rand
Homework No.10 (Due Tuesday April 8)
1. A bag is filled with 20 dice in the shape of the 5 Platonic solids (T=Tetrahedron, C=Cube,
O=Octahedron, D=Dodecahedron, I=Icosahedron), in each of 4 colors (R=Red, B=Blue, G=Green,
Y=Yellow). A die is drawn at random from the bag. Let E be the event
{
T is drawn
}
and let F
be the event
{
R is drawn
}
.
a. Draw the sample space.
b. Describe the event E
∪
F in words, and display it in the sample space.
c. Describe the event E
∩
F in words, and display it in the sample space.
d. Describe the event E
prime
∪
F
prime
in words, and display it in the sample space.
e. Find the probability that the die drawn is R.
f. Find the probability that the die drawn is either RT or is not T.
g. Find the probability that the die drawn is neither R nor T.
2. Two dice are drawn from the bag with replacement of the first die.
a. Find the probability that they are both T.
b. Find the probability that at least one of them is T.
3. Two dice are drawn from the bag without replacement of the first die.
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 Spring '08
 PHOENIX
 Probability, Probability theory, Dice, bag

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