2) A bag contains 10 beads. Six are black and 4 are white. ( i )...
2) A bag contains 10 beads. Six are black and 4 are white. ( i ) Three beads are selected from this bag at random, without replacement. What is the probability that precisely two of the beads are white? ( ii ) Three beads are selected from this bag, one at a time. After each bead is selected, its color is noted and it is replaced in the bag. What is the probability that precisely two of the beads are white?
Homework Answers
i) P(two of the beads are white) = 4C2 * 6C1 / 10C3 = 6 * 6 / 120 = 0.3
ii) P(two of the beads are white) = 3C2 * (4/10)2 * (6/10) = 0.288
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the...
A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it is...
Two bags contain a number of balls. Bag A contains 4 white and 3 black balls and bag B contains 3...
Two bags contain a number of balls. Bag A contains 4 white and 3 black balls and bag B contains 3 whit and 5 black balls. A ball is chosen at random from bag A and placed into bag B i). Given that the first ball was black, what is the probability that a second ball drawn from bag A will be white? (1 mark) Given no knowledge of the color of the first ball, what is the probability that...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
Typed answers are preferrable over handwritten :) A jar contains 6 white beads and 3 black...
Typed answers are preferrable over handwritten :)
A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next...
A bag contains 4 RED beads, 5 BLUE beads, and 11 GREEN beads. If a single...
A bag contains 4 RED beads, 5 BLUE beads, and 11 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN?
A bag contains 6 black balls,5 red balls and 4 white balls,if 3 are selected at random without replacement determine the probability that (1)all 3 are black (2)all 3 are red (3)2 are black and 1 white (4)at least 1 of each colour is selected
A bag contains 6 black balls,5 red balls and 4 white balls,if 3 are selected at random without replacement determine the probability that (1)all 3 are black (2)all 3 are red (3)2 are black and 1 white (4)at least 1 of each colour is selected.
A bag contains 9 RED beads, 8 BLUE beads, and 3 GREEN beads. If a single...
A bag contains 9 RED beads, 8 BLUE beads, and 3 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN?
A bag is filled with 10 black tokens, 5 white tokens, 4 blue tokens, and 2...
A bag is filled with 10 black tokens, 5 white tokens, 4 blue tokens, and 2 green tokens. Three tokens are drawn from the bag without replacement. What is the probability that 2 tokens are white and 1 is green if the order does not matter?
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it is...
Two bags contain a number of balls. Bag A contains 4 white and 3 black balls and bag B contains 3 whit and 5 black balls. A ball is chosen at random from bag A and placed into bag B i). Given that the first ball was black, what is the probability that a second ball drawn from bag A will be white? (1 mark) Given no knowledge of the color of the first ball, what is the probability that...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
7. A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next bead is chosen, but if it...
Typed answers are preferrable over handwritten :)
A jar contains 6 white beads and 3 black beads. Beads are chosen randomly from the jar one at a time until the third time a black bead turns up. a. Suppose that each bead is replaced before the next is chosen. How many beads should you expect to be chosen in the course of the experiment? [5] b. Suppose that if a bead is white, it is not replaced before the next...
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