Suppose a box contains 12 silver coins (S) and 3 gold coins (G). (a) If you...
Suppose a box contains 12 silver coins (S) and 3 gold coins (G).
(a) If you randomly select 2 coins without replacement, determine the probability
that you obtain exactly 1 gold coin (G).
(b) If you randomly select 3 coins without replacement, determine the probability
that you obtain exactly 1 gold coin (G).
Homework Answers
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Suppose a box contains 12 silver coins (S) and 3 gold coins
(G).
(a) If you...
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 2 contains four gold coins and six silver coins. Hat 3 contains olour of each of the three selected coins. List the three copper coins. Hat three gold coins and seven copper coins. We randomly select one coin f and seven copper coins. We randomly select one coin from each hat (a) The outcome of interest is the complete sample space of outcomes and...
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains...
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains three gold coins, six silver coins and one copper coin. (A) You will randomly select one coin from each of the two hats. The outcome of interest is the colour of each of the selected coins. Give the complete sample space of possible outcomes, and calculate the probability of each outcome. (B) What is the probability that the two selected coins are the same...
show work for each part 3. Suppose a bag contains 2 quarters, 1 dime, 5 nickels,...
show work for each part
3. Suppose a bag contains 2 quarters, 1 dime, 5 nickels, and 3 pennies. a. If you randomly select one coin out of the bag, what is the probability that it is a nickel? P(N)= b. If you randomly select one coin out of the bag, what is the probability it is not a quarter? P@= c. If you select two coins with replacement, what is the probability of picking a dime (D1) and then...
6. A box contains 5 dimes and 3 nickels. Suppose two coins are randomly selected without...
6. A box contains 5 dimes and 3 nickels. Suppose two coins are randomly selected without replacement from this box. a) (3 points) Complete the the probability distribution table below for the total amount in cents. Use reduced fraction for probabilities. 15% 204 T, total amounts in cents 10ç P(T) (b) (2 points) Graph the probability distribution histogram. .65 .45 .15 5c 100 150 20¢ 25c 30ç (c) (2 points) Find . (d) (2 points) Find the exact value for...
A box contains 3 different coins. An experiment consists of drawing two coins in succession without...
A box contains 3 different coins. An experiment consists of drawing two coins in succession without replacement from the box, noting the type of each coin as it is drawn, and then flipping the last coin drawn 4 times and noting the number of Heads. An outcome is a list of the coins drawn, in the order they were drawn, and the number of Heads that came up on the 4 flips. How large is the sample space?
Each of 3 boxes identical in appearance has 2 drawers. Box A has a gold coin...
Each of 3 boxes identical in appearance has 2 drawers. Box A has a gold coin in each drawer. Box B has a silver coin in each drawer while Box C contains a gold coin in one drawer and a silver coin in the other. A box is chosen one of its drawers is opened and a gold coin is found. a) What is the probability that the other drawer contains a silver coin b) What is the probability that...
A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings...
A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings are drawn at random with replacement. Find the probability that they are made of different materials.
6. A box contains 3 quarters and 7 nickels. Suppose two coins are randomly selected without...
6. A box contains 3 quarters and 7 nickels. Suppose two coins are randomly selected without replacement from this box. (a) (3 points) Complete the the probability distribution table below for the total amount in cents. Use reduced fraction for probabilities. T. total amounts in cents P(T) (b) (2 points) Graph the probability distribution histogram. 30 50 60 70€ 5¢ (c) (2 points) Find 10¢ . (d) (2 points) Find o. (e) (2 points) Find the exact value for o'....
3 Suppose that a box contains five coins, and that for each coin there is a different probability...
3 Suppose that a box contains five coins, and that for each coin there is a different probability that a head will be obtained when the coin is tossed. Let pi denote the probability of a head when the ith coin is tossed, where i 1,2,3, 4,5]. Suppose that a (8 marks) Suppose that one coin is selected at random from the the probability that the ith coin was selected? Note that i b (8 marks) If the same coin...
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin...
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin 2 has both sides tails. • coin 3 has both sides tails. • coin 4 is a regular coin (1 side head, other side tails). (a)(3 points) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b)(3 points) If we randomly choose one coin, flip, and it comes up heads, what is the probability it...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and 2 contains four gold coins and six silver coins. Hat 3 contains olour of each of the three selected coins. List the three copper coins. Hat three gold coins and seven copper coins. We randomly select one coin f and seven copper coins. We randomly select one coin from each hat (a) The outcome of interest is the complete sample space of outcomes and...
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains three gold coins, six silver coins and one copper coin. (A) You will randomly select one coin from each of the two hats. The outcome of interest is the colour of each of the selected coins. Give the complete sample space of possible outcomes, and calculate the probability of each outcome. (B) What is the probability that the two selected coins are the same...
show work for each part
3. Suppose a bag contains 2 quarters, 1 dime, 5 nickels, and 3 pennies. a. If you randomly select one coin out of the bag, what is the probability that it is a nickel? P(N)= b. If you randomly select one coin out of the bag, what is the probability it is not a quarter? P@= c. If you select two coins with replacement, what is the probability of picking a dime (D1) and then...
6. A box contains 5 dimes and 3 nickels. Suppose two coins are randomly selected without replacement from this box. a) (3 points) Complete the the probability distribution table below for the total amount in cents. Use reduced fraction for probabilities. 15% 204 T, total amounts in cents 10ç P(T) (b) (2 points) Graph the probability distribution histogram. .65 .45 .15 5c 100 150 20¢ 25c 30ç (c) (2 points) Find . (d) (2 points) Find the exact value for...
6. A box contains 3 quarters and 7 nickels. Suppose two coins are randomly selected without replacement from this box. (a) (3 points) Complete the the probability distribution table below for the total amount in cents. Use reduced fraction for probabilities. T. total amounts in cents P(T) (b) (2 points) Graph the probability distribution histogram. 30 50 60 70€ 5¢ (c) (2 points) Find 10¢ . (d) (2 points) Find o. (e) (2 points) Find the exact value for o'....
3 Suppose that a box contains five coins, and that for each coin there is a different probability that a head will be obtained when the coin is tossed. Let pi denote the probability of a head when the ith coin is tossed, where i 1,2,3, 4,5]. Suppose that a (8 marks) Suppose that one coin is selected at random from the the probability that the ith coin was selected? Note that i b (8 marks) If the same coin...
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin 2 has both sides tails. • coin 3 has both sides tails. • coin 4 is a regular coin (1 side head, other side tails). (a)(3 points) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b)(3 points) If we randomly choose one coin, flip, and it comes up heads, what is the probability it...
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