1) There are four not transparent bags on the table in front of you. One of...
1) There are four not transparent bags on the table in front of you. One of the bags has three red marbles, the second bag has two red and one blue marbles, the third bag has one red and two blue marbles, and the last has three blue marbles.
a) If you randomly select one marble from a randomly selected bag
and noticed that it is a red marble, what is the probability that
your 2nd randomly selected marble from the same bag is blue?
b) If you randomly select two marbles from a randomly selected bag
and noticed that you have one red and one blue marbles in hand,
what is the probability that the other marble from the same bag is
blue?
Homework Answers
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1) There are four not transparent bags on the table in front of
you. One of...
LINEAR ALGEBRA, please show all your work and clearly circle answer. thank you! 3, 4 3. Two fair dice are rolled, one red and one green, and the numbers on the top faces are noted. Let event E be...
LINEAR ALGEBRA, please show all your work and clearly circle
answer. thank you! 3, 4
3. Two fair dice are rolled, one red and one green, and the numbers on the top faces are noted. Let event E be "red number is 3 or 4 or 5" and event F be "sum is 10 or higher." Are E and F independent or dependent? 4. Bag 1 contains four red and five blue marbles, and Bag 2 contains two red and...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the table. 11 44 55 33 45 77 100 Pick a person randomly from the 100 people. Denote the event F "the person is female", and Y "Yes, the person smokes". Find the following conditional probabilities: a). P(Y) b). P(YIF) 5. Suppose you have two Bags, each contains 100 marbles: Bag 1 has 70 red and 30 blue marbles; Bag 2 has 60 red and...
(d) What is the probability that at least two players receive exactly two hearts? 7. A...
(d) What is the probability that at least two players receive exactly two hearts? 7. A hand of 6 cards is drawn from a standard 52 card deck. (a) What is the probability of getting three different pairs? (ex: aabbcc) (b) What is the probability of getting two pairs? (ex: aabbcd) (c) What is the probability of getting three of a kind? (ex: aaabcd) (d) What is the probability of getting all cards with the same suit? 8. A bag...
Please answer all three questions below: 1.) A bag of marbles contains the following assortment of...
Please answer all three questions below: 1.) A bag of marbles contains the following assortment of marbles. Yellow Blue Blue Yellow Yellow Yellow Green Green Green Red Red Green Yellow Yellow Blue Bag of Marbles The experiment is to reach into a bag pull out two marbles without replacement. Calculate the probability of randomly choosing a Red marble and Green marble. P(Red AND Green) = 2.) A bag of marbles contains the following assortment of marbles. Yellow Blue Red Blue...
We have two bags containing marbles: • Bag A contains 4 blue, and 3 green marbles...
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A bag contains 2 red marbles, 3 blue marbles, and 7b green marbles. One marble is...
A bag contains 2 red marbles, 3 blue marbles, and 7b green marbles. One marble is randomly selected from the bag.Find the following probabilities: a) It was not a blue marble b)It was red or blue marble
Probabilities - There are 4 marbles in a bag to choose from Blue, Red, Green, and...
Probabilities - There are 4 marbles in a bag to choose from Blue, Red, Green, and Purple. You are to select 1 marble, put it back in the bag, and then select the second marble. Draw a tree diagram for this situation. What is the probability of choosing your favorite color two times in the row? - There are 4 marbles in a bag to choose from: Blue, Red, Green, and Purple. You are to select 1 marble, keep it,...
For the given pair of events A and B, complete parts (a) and (b) below. A:...
For the given pair of events A and B, complete parts (a) and (b) below. A: A marble is randomly selected from a bag containing 15 marbles consisting of 1 red, 11 blue, and 3 green marbles. The selected marble is one of the green marbles. B: A second marble is selected and it is the 1 red marble in the bag. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but...
7A bag contains 6 red marbles, 3 blue marbles, and 4 green marbles. If five marbles...
7A bag contains 6 red marbles, 3 blue marbles, and 4 green marbles. If five marbles are randomly selected from the bag, what is the probability that (a) exactly three are red marbles. (b) there is no red marble. (Hint: use combinations)
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles and 9 blue marbles....
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
LINEAR ALGEBRA, please show all your work and clearly circle
answer. thank you! 3, 4
3. Two fair dice are rolled, one red and one green, and the numbers on the top faces are noted. Let event E be "red number is 3 or 4 or 5" and event F be "sum is 10 or higher." Are E and F independent or dependent? 4. Bag 1 contains four red and five blue marbles, and Bag 2 contains two red and...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the table. 11 44 55 33 45 77 100 Pick a person randomly from the 100 people. Denote the event F "the person is female", and Y "Yes, the person smokes". Find the following conditional probabilities: a). P(Y) b). P(YIF) 5. Suppose you have two Bags, each contains 100 marbles: Bag 1 has 70 red and 30 blue marbles; Bag 2 has 60 red and...
(d) What is the probability that at least two players receive exactly two hearts? 7. A hand of 6 cards is drawn from a standard 52 card deck. (a) What is the probability of getting three different pairs? (ex: aabbcc) (b) What is the probability of getting two pairs? (ex: aabbcd) (c) What is the probability of getting three of a kind? (ex: aaabcd) (d) What is the probability of getting all cards with the same suit? 8. A bag...
We have two bags containing marbles: • Bag A contains 4 blue, and 3 green marbles • Bag B contains 2 blue, 5 green, and 3 yellow marbles We perform this two step procedure. First, draw a marble from bag A uniformly at random. Then put this marble into bag B. Second, draw a marble from bag B uniformly at random. We keep this marble. What is the probability that the marble we keep is green?
7A bag contains 6 red marbles, 3 blue marbles, and 4 green marbles. If five marbles are randomly selected from the bag, what is the probability that (a) exactly three are red marbles. (b) there is no red marble. (Hint: use combinations)
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
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