A special deck of cards has 10 green cards, 12 blue cards, and 6 red cards. When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin. a. How many elements are there in the sample space? b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Round your answer to 4 decimal places. c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive

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A special deck of cards has 10 green cards, 12 blue cards, and 6 red cards. When a card is picked, the color
is recorded. An experiment consists of first picking a card and then tossing a coin.
a. How many elements are there in the sample space?
b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss.
P(A) =
Round your answer to 4 decimal places.
c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events
A and B mutually exclusive?
Yes, they are Mutually Exclusive
No, they are not Mutually Exclusive
Transcribed Image Text:A special deck of cards has 10 green cards, 12 blue cards, and 6 red cards. When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin. a. How many elements are there in the sample space? b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Round your answer to 4 decimal places. c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive
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