SOLUTION: 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
b. a red card or a 1
c. a
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Question 129775This question is from textbook Fundamentals of mathematics
: 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
b. a red card or a 1
c. a picture card and a 1
d. a picture card or a 1
e. a red picture card and a 1
f. a red picture card or a 1
This question is from textbook Fundamentals of mathematics
Found 2 solutions by oscargut, stanbon:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
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
b. a red card or a 1
c. a picture card and a 1
d. a picture card or a 1
e. a red picture card and a 1
f. a red picture card or a 1
there are 13 red cards and 12 picture cards and 3 red picture cards
a) (13/52)(1/6)=1/24
b) 1-P(no red cards and no 1)=1-(39/52)(5/6)=1-15/24=9/24
c) (12/52)(1/6)
d) 1-P(no picture cards and no 1)=1-(40/52)(5/6)=1-200/312=112/312=14/39
e) (1/4)(1/6)=1/24
f) 1-P(no red picture cards and no 1)=(49/52)(5/6)=245/312
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
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