A special deck of cards has ten cards. Two are green (G), two are blue (B), and
ID: 3059307 • Letter: A
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A special deck of cards has ten cards. Two are green (G), two are blue (B), and six are red (R). When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin, which lands on heads (H) or tails (T). Part (a) List the sample space. (Enter your answer using letter combinations separated by commas. Example: GH, GT,.) Part (b) Let A be the event that a blue card is picked first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = E Part (c) Let B be the event that a red or green is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and Bare mutually exclusive because they cannotExplanation / Answer
A special deck of cards has ten cards. Two are green (G), two are blue (B), and six are red (R). When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin, which lands on heads (H) or tails (T). Part (a) List the sample space. (Enter your answer using letter combinations separated by commas. Example: GH, GT,.) Part (b) Let A be the event that a blue card is picked first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = E Part (c) Let B be the event that a red or green is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.) A and Bare mutually exclusive because they cannot
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