48 points | Previous Answers B A special deck of cards has ten cards. One is gre

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48 points | Previous Answers B A special deck of cards has ten cards. One is green (G), two are blue (B), and seven 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) 1 3HW 087 Notes Ask Your Teacher E Part (a) List the sample space. (Enter your answer using letter combinations separated by commas. Example: GH, GT.,.) GT, GH, BH, BT, RH, RT 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.) PA)= 220 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 aremutually exclusive because they cannothappen at the same time. Thus, PIA and B)- Part (d) Submit Answer Save Progress Practice Another Version

Explanation / Answer

Mutually Exclusive events have the probability of them both occurring at the same time is 0.

P( A and B) = 0.

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