MY NOTES ASK YOUR TEACHER A special deck of cards has ten cards. One is green (G), four are blue (B), and fivé 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). O Part (a) List the sample space (Enter your answer using letter combinations separated by commas Example: GH, GT,) {I O 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) = O 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 B-Select-v mutually exclusive because they Selectvhappen at the same time. Thus, PLA and B) = O Part (d) Let C be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification (Enter your probability as a fraction.) A and C-Select- v mutually exclusive because they Select-v happen at the same time. Thus, PLA and C) =

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