A box containing eight light globes, two of which are faulty. Two globes are selected, one at a time without replacement. Find the probability that neither globe is faulty.
P(neither globe is faulty) = P(first globe is not faulty) * P(second globe is not faulty)
= (6/8) * (5/7)
= 15/28 or 0.5357
A box containing eight light globes, two of which are faulty. Two globes are selected, one...
A lot of 99 semiconductor chips contains 19 that are defective. (a) Two are selected, one at a time and without replacement from the lot. Determine the probability that the second one is defective. (b) Three are selected, one at a time and without replacement. Find the probability that the first one is defective and the third one is not defective.
A lot of 99 semiconductor chips contains 19 that are defective. (a) Two are selected, one at a time and without replacement from the lot. Determine the probability that the second one is defective. (b) Three are selected, one at a time and without replacement. Find the probability that the first one is defective and the third one is not defective.
In a box of 11 parts, four of the parts are defective. Two parts are selected at random without replacement. Find the probability that both parts are defective.
question: With probability = .25 , two switches are selected without replacement from box A, & with probability = .75 , two switches are selected without replacement from box B. box A contains 4 defective switches & 6 good switches (prob = .) box B contains 8 defective switches & 2 good switches (prob = .) Determine the probability that the 2nd chosen switch is defective, given that the 1st chosen switch is defective.
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.
A box contains 30 parts, of which 5 are defective and 25 are non-defective. If two parts are selected without replacement a.Construct a tree diagram with a listing of all the outcomes and probabilities: b.P(exactly one non-defective part) include both fractional and decimal answers. c.P( at least one defective) d.P( neither is defective)
Two marbles are chosen without replacement from a box containing 5 green, 8 red, 5 yellow, and 7 blue marbles. Let X be the number of red marbles chosen. a) Find and graph the probability distribution of X. b) Find E (x)
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 group consists of 18 students, 12 of which are females. If two students are selected at random from the group, one at a time and without replacement, what is the probability that the second student selected is female?
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a time without replacement. What is the probability that exactly 2 fakes are selected before the second real diamond is selected?