Two Basic Rules of Probability · Exercise 18
A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color of it is recorded. An experiment consists of first picking a card and then tossing a coin.
(a) List the sample space.
(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).
(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.
(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.
OpenStax, Introductory Statistics 2e · §3.3 Two Basic Rules of Probability · Exercise 18
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