Question 129775
one card is randomly selected from a shuffled standard deck of 52 cards and then a die is rolled. find the probility of obtaining
a. a red card and a 1= P(red)*P(1) = 1/4*1/6 = 1/24
because these are  independent events.
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b. a red card or a 1 = P(red) + P(1) = 1/4 + 1/6 = 10/24 = 5/12
because these are mutually exclusive events.
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c. a picture card and a 1 = P(picture)*P(1) = 12/52 * 1/6 = 1/26
because these are independent events.
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d. a picture card or a 1 = P(picture) or P(1) = 12/52 + 1/6 = 58/(52*6)= 29/156
because these are mutually exclusive events
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e. a red picture card and a 1 = P(red picture)*P(1) = 6/52*1/6 = 1/52
independent events
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f. a red picture card or a 1 = P(red pic)+P(1) = 6/52 + 1/6= 88/[52*6] = 11/39
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Cheers,
Stan H.