Question 264375: A lottery ticket has a color: Red or Blue followed by one number among 1, 2 and 7.
(a) Specify the sample space for this experiment by listing all possible outcomes.
(b) Let A be the event that the number of the ticket is an odd number, and B be the event that the color of the ticket is blue. Specify the three events A, B and (A and B) by listing all the outcomes in each event.
(c) Find the probabilities P(A), P(B) and P(A and B).
(d) Find the probability P(A or B) .
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A lottery ticket has a color: Red or Blue followed by one number among 1, 2 and 7.
(a) Specify the sample space for this experiment by listing all possible outcomes.
R1,R2,R7
B1,B2,B7
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(b) Let A be the event that the number of the ticket is an odd number, and B be the event that the color of the ticket is blue. Specify the three events A, B and (A and B) by listing all the outcomes in each event.
A = R1,R7,B1,B7
B = B1,B2,B3
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(c) Find the probabilities
P(A) = 4/6
P(B) = 3/6
P(A and B) = P(B1,B7) = 2/6
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(d) Find the probability P(A or B) = 6/6
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Cheers,
Stan H.
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