In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box,...

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In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts. Find the probability that a cookie contains chocolate or nuts (he can't eat it). In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts. Find the probability that a cookie does not contain chocolate or nuts (he can eat it). Hint: Use the complement rule, or draw a Venn Diagram. A box consists of 15 red marbles, 5 blue marbles, and 10 yellow marbles. One marble is randomly selected. R = selecting a red marble. B = selecting a blue marble. Y = selecting a yellow marble. Are events R, B, and Y mutually exclusive? Why or why not? Yes, since we are selecting only one marble, there is no way to select more than one color of marble. No, the events have shared outcomes. Thus, the events are not mutually exclusive. A box consists of 15 red marbles, 5 blue marbles, and 10 yellow marbles. One marble is randomly selected. R = selecting a red marble. B = selecting a blue marble. Y = selecting a yellow marble. Determine P(R or B or Y). Use the following information to answer the next four exercises. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G = second card is green Are G and G1 independent events? Explain why or why not. No, since the cards are not replaced once selected, selecting a green card first affects the probability of selecting a green card second. Yes, since the cards are not replaced once chosen, selecting a green card first has no affect on selecting a green card second. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G = second card is green Find P(G2|G1). Round answers to four decimal places, if necessary. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G2 = second card is green Find P(G1 AND G2). Round answers to four decimal places, if necessary. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G2 = second card is green Find P(at least one green). Round answers to four decimal places. Hint: Use the complement rule P(A)+P(A)=1. The complement of "at least one green" is "no green" or "both cards are yellow." In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts. Find the probability that a cookie contains chocolate or nuts (he can't eat it). In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts. Find the probability that a cookie does not contain chocolate or nuts (he can eat it). Hint: Use the complement rule, or draw a Venn Diagram. A box consists of 15 red marbles, 5 blue marbles, and 10 yellow marbles. One marble is randomly selected. R = selecting a red marble. B = selecting a blue marble. Y = selecting a yellow marble. Are events R, B, and Y mutually exclusive? Why or why not? Yes, since we are selecting only one marble, there is no way to select more than one color of marble. No, the events have shared outcomes. Thus, the events are not mutually exclusive. A box consists of 15 red marbles, 5 blue marbles, and 10 yellow marbles. One marble is randomly selected. R = selecting a red marble. B = selecting a blue marble. Y = selecting a yellow marble. Determine P(R or B or Y). Use the following information to answer the next four exercises. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G = second card is green Are G and G1 independent events? Explain why or why not. No, since the cards are not replaced once selected, selecting a green card first affects the probability of selecting a green card second. Yes, since the cards are not replaced once chosen, selecting a green card first has no affect on selecting a green card second. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G = second card is green Find P(G2|G1). Round answers to four decimal places, if necessary. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G2 = second card is green Find P(G1 AND G2). Round answers to four decimal places, if necessary. Use the following information from Question 13. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. G = first card is green G2 = second card is green Find P(at least one green). Round answers to four decimal places. Hint: Use the complement rule P(A)+P(A)=1. The complement of "at least one green" is "no green" or "both cards are yellow."