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?
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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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