Question

In: Statistics and Probability

There are two bags of coins. In the first bag there are 3 gold, 2 silver...

There are two bags of coins. In the first bag there are 3 gold, 2 silver coins. In the second bag there are 1 gold, 4 silver coins. 2 coins are randomly picked from the first bag, and then dropped into the second bag. Then a coin is randomly selected from the second bag. If this coin is a gold coin, what is the probability that both coins picked from the first bag were gold?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and three copper coins. Hat 2 contains four gold coins and six silver coins. Hat 3 contains three gold coins and seven copper coins. We randomly select one coin from each hat. (a) The outcome of interest is the colour of each of the three selected coins. List the complete sample space of outcomes and calculate the probability of each. (b) Let X be the...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and three copper coins. Hat 2 contains four gold coins and six silver coins. Hat 3 contains three gold coins and seven copper coins. We randomly select one coin from each hat. (a) The outcome of interest is the color of each of the three selected coins. List the complete sample space of outcomes and calculate the probability of each. (b) Let X be the...
5 coins are put in a bag. 2 of the coins are weighted with the probability...
5 coins are put in a bag. 2 of the coins are weighted with the probability of flipping heads being three times as great than the probability of flipping tails; the remaining coins are fair. One of these coins is selected at random and then flipped once. What is the probability that a weighted coin was selected given that heads was flipped?
The Brown Bag company makes a two varieties of bags for its customers. The first is...
The Brown Bag company makes a two varieties of bags for its customers. The first is an organically created, Non-GMO, totally biodegradable bag used at a large number of Whole Foods stores and various other high end groceries. The company sells these bags for $10.00 per hundred (1 unit). The second bag is a reusable bag that sells for $5.00 each. The company currently uses a plant-wide allocation for factory overhead based upon machine hours, however, the company feels like...
The Brown Bag company makes a two varieties of bags for its customers. The first is...
The Brown Bag company makes a two varieties of bags for its customers. The first is an organically created, Non-GMO, totally biodegradable bag used at a large number of Whole Foods stores and various other high end groceries. The company sells these bags for $10.00 per hundred (1 unit). The second bag is a reusable bag that sells for $5.00 each. The company currently uses a plant-wide allocation for factory overhead based upon machine hours, however, the company feels like...
I have two bags. Bag 1 contains 10 blue marbles, while Bag 2 contains 15 blue...
I have two bags. Bag 1 contains 10 blue marbles, while Bag 2 contains 15 blue marbles. I pick one of the bags at random and add 6 red marbles in it. Then I shake the bag and choose 5 marbles (without replacement) at random from the bag. If there are exactly 2 red marbles among the 5 chosen marbles, what is the probability that I have chosen Bag 1?
**Question 4**: Three identical-looking chests contain the following booty: 1) 40 gold coins, 20 silver, and...
**Question 4**: Three identical-looking chests contain the following booty: 1) 40 gold coins, 20 silver, and 40 bronze 2) 20 gold coins, 70 silver, and 10 bronze 3) 10 gold coins, 20 silver, and 70 bronze Each chest is locked, but all have a small slit at the top where you could deposit additional coins (and maybe shake out a coin already inside). You select one of the chests at random, pick it up, and shake it. Out of the...
1) Consider 3 bags of colored balls. Bag A contains a blue, a yellow and a...
1) Consider 3 bags of colored balls. Bag A contains a blue, a yellow and a green ball. Bag B contains a cyan and a magenta ball. Lastly, bag C contains a red, a black, a white and a grey ball. If you decide to grab 1 ball from bag A, 1 ball from bag B and 2 balls from bag C, how many ways can you obtain 4 colored balls? Note that none of the colors mentioned are the...
The Bag Corporation is a distributor of high end golf bags. In the past, The Bag...
The Bag Corporation is a distributor of high end golf bags. In the past, The Bag Corporation produced and sold the golf bags. Over time, they realized it was cheaper to buy the golf bags fully assembled and resell them to the public, therefore eliminating their need for a manufacturing plant. The Bag Corporation pays $60 per golf bag and sells them for $180. Prepare a 2021 (January – December) Revenue Budget (for units and sales dollars) for The Bag...
3. A grocery bag can be classified as either paper or plastic. 79% of grocery bags...
3. A grocery bag can be classified as either paper or plastic. 79% of grocery bags are classified as plastic. (Round to three decimal places) Interpret the answers. a) Two grocery bags are chosen at random. What is the probability that both the grocery bags are plastic? b) Five grocery bags are chosen at random. What is the probability that all five grocery bags are paper?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT