(3 pts each) 3) An urn has 4 yellow marbles, 9 green marbles, and 7 red marbles. a) If two marbles are picked with replacement, what is the probability that both will be red? p ( l¾ecl Z k dred) pos* 4- 70 b) If two marbles are picked with replacement, what is the probability at least one will be yellow? 1 9.el(iÞ) Assign a probability to each outcome in the sample space for the experiment that consists of tossing a single fair coin. Solution: With the outcomes labeled h for heads and t for tails, the sample space is the set S = {h, t}. Since the outcomes have the same probabilities, which must add up to 1, each outcome is assigned probability 1/2. Using the two spinners„ find each compound probability. 8. and 3) and 2) 9. P(A and not 2) 7. and 1) A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. Find each compound probability. 10. P(blue and red) 13. P(red and red and red) 11. P(blue and blue) 12. 2. Drawing a red marble from a bag that contains 4 red marbles and 10 black marbles. 3. Find the probability of each event for one roll of a number cube. c. greater than 2 b. an odd number or a number greater than 4 4. A bag contains 6 red chips, 9 white chips, and 5 blue chips. A chip is selected and then replaced. Then a second chip is ... ,The probability of blue marbles is 6/15, which can be simplified to 2/5... What Is The Nutritional Difference Between Red, Green And Yellow Apples? Fruit. Nothing is different unless the size differs... A Jar Contains 5 Blue Marbles, 8 Red Marbles, 4 White Marbles, And 3 Purple Marbles. Suppose You Pick A Marble At Random Without Looking. , The number of 2 green sock combinations is zero, because there is only one green sock. So the total number of combinations of the same color is 6+3+1=10. The total number of ways to pick any two socks out of 10 is combin(10,2)=10!/(8!*2!) = 10*9/2=45. So the probability of choosing two of the same color is 10/45 = 22.22%. .

Assuming the coin is fair, each of the outcomes will occur roughly the same number of times in many repeats of the experiment. The probability of "two tails" will be 3/8. The probabilities of the different outcomes will depend on how much of the wall is covered by each color. Area of red. Total Area b) Two coins are tossed, find the probability that one head only is obtained. c) Two dice are rolled, find the probability that the sum is equal to 5. d) A card is drawn at random from a deck of cards. Find the probability of getting the King of heart. Answers to above exercises a) 2 / 6 = 1 / 3 b) 2 / 4 = 1 / 2 c) 4 / 36 = 1 / 9 d) 1 / 52 Nancy is going to pick a marble out of a bag without looking. There are three colors of marbles in the bag blue, red, and purple. The probability of choosing a blue marble is , and the probability of picking a red marble is . What is the probability of Nancy picking a purple marble? 1 4 2 3 A 1 12 B 1 6 C 1 3 D 2 3 .