A. Determine if the following problems are dependent or independent events: 1. Mario has 5 blocks of different colors in a bag. One block is red, one is yellow, one is green, one is blue, and one is black. Mario pulls out a block, looks at it, and puts it back in the bag. If he does these 3 times, what is the probability that the 3 blocks selected are all of the same color? _2. A number cube is rolled and a marble is drawn from a bag containing 3 red and 3 yellow marbles. What is the probability of the number cube landing yellow? 3. A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling on the second? 4. A jar contains 6 brown bead and 4 black beads. If two beads are selected at random, with replacement, what is the probability that both beads will be on 1 and the marble being brown? 5. Juan is holding four straws of different lengths. Four of his friends each randomly pick a straw. Milo picks first, and keeps the shortest straw. What is the probability that Frank will get the longest straw if he picks second?

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Chapter1: Combinatorial Analysis
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A. Determine if the following problems are dependent or independent events:
1. Mario has 5 blocks of different colors in a bag. One block is red,
one
is
yellow, one is green, one is blue, and one is black. Mario pulls out a block, looks at it,
and puts it back in the bag. If he does these 3 times, what is the probability that the
3
blocks
selected
are
all
of
the
same
color?
_2. A number cube is rolled and a marble is drawn from a bag
containing 3 red and 3 yellow marbles. What is the probability of the number cube landing
yellow?
3. A game requires players to roll two number cubes to move the
game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of
rolling a 2 or 4 on the first number cube and then rolling on the second?
_4. A jar contains 6 brown bead and 4 black beads. If two beads are
selected at random, with replacement, what is the probability that both beads will be
1
and
the
marble
being
on
brown?
5. Juan is holding four straws of different lengths. Four of his friends
each randomly pick a straw. Milo picks first, and keeps the shortest straw. What is the
probability that Frank will get the longest straw if he picks second?
Transcribed Image Text:A. Determine if the following problems are dependent or independent events: 1. Mario has 5 blocks of different colors in a bag. One block is red, one is yellow, one is green, one is blue, and one is black. Mario pulls out a block, looks at it, and puts it back in the bag. If he does these 3 times, what is the probability that the 3 blocks selected are all of the same color? _2. A number cube is rolled and a marble is drawn from a bag containing 3 red and 3 yellow marbles. What is the probability of the number cube landing yellow? 3. A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling on the second? _4. A jar contains 6 brown bead and 4 black beads. If two beads are selected at random, with replacement, what is the probability that both beads will be 1 and the marble being on brown? 5. Juan is holding four straws of different lengths. Four of his friends each randomly pick a straw. Milo picks first, and keeps the shortest straw. What is the probability that Frank will get the longest straw if he picks second?
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