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.
A jewellery box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings...
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).
(5) A box contains 4 red and 6 white balls. If two balls are drawn at random without replacement, find the probability that one of the two is red (6) A box contains 4 red and 6 white balls. If two balls are drawn at random with replacement, find the probability that one of the two is red
A box contains twenty-five screws which are identical in size, but 13 of which are copper coated and 12 of which are not. Two screws are selected at random, without replacement. (a) Find the probability that both are copper coated. (b) Find the probability that at least one is copper coated.
5. A box contains two $10 bills, five $5 bills, and eight $1 bills. Two bills are taken at random without replacement from the box. a. What is the probability of drawing exactly $15? b. What is the probability that both bills will be of the same denomination? (i.e., two $10, two $5, or two $1 bills are drawn)?
A box contains 12 white and 8 black marbles. Two balls are drawn out randomly from the box without replacement. Let X denote the number of white balls drawn out. a. Construct the probability distribution of X. b. Find mean and variance of X using the following formula ? = E (X) = ∑ ? . ?(?) ? ?(?2) = ∑ ?2 . ?(?) ? ?2 = ???(?) = ?(?2) − (?)2
A coin, made of gold and silver, was divided into two pieces and the smaller piece has volume of 1/4 of the whole. If the smaller piece contains 20% gold by volume, and the larger piece has density of 10% higher than the smaller piece, Calculate the metal composition of the larger piece (per cents of silver and gold). Density of gold; 19.32 t/m3 Density of silver; 10.5 t/m3 66% Silver 56% Silver 20% Gold 80% Gold 34% Gold
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...
A coin, made of gold and silver, was divided into two pieces and the smaller piece has volume of 1/4 of the whole. If the smaller piece contains 20% gold by volume, and the larger piece has density of 10% higher than the smaller piece, Calculate the metal composition of the larger piece (per cents of silver and gold). Density of gold; 19.32 t/m3 Density of silver; 10.5 t/m3
A radio station runs a promotion at an auto show with a money box with 15 $25 tickets, 11 $5 tickets, and 12 31 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. 3. The probability that all three tickets drawn have no money value is Round to four decimal places as needed.) 4. If you are dealt 3 cards from a...