question archive 1) A group of students were asked if they carry a credit card
1) A group of students were asked if they carry a credit card
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1) A group of students were asked if they carry a credit card. The responses are listed in the table.
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 24 36 60
Sophomore 37 3 40
Total 61 39 100
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
A) 0.393 B) 0.400 C) 0.600 D) 0.240
2) You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
A) 0.500 B) 0.006 C) 0.994 D) 0.250
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Answer:
1.
B )
Step-by-Step explanation
Calculation:
The freshman owns a credit card = 24
Total number of freshman = 60
The probability that the freshman owns a credit card = 24/60 = 0.400
The answer is 0.400.
2.
B )
Step-by-Step explanation
Total number of "two" cards = 4
Total number of "ten" cards = 4
The probability that the first selected card is "two" can be calculated as:
P = Total number of "two" cards / Total cards
= 4/52
The probability that the second selected card is "ten" can be calculated as:
P = Total number of "ten" cards / Total cards
= 4/51
For this case, the required probability can be calculated as:
??=???4/52??×??4/51???=0.006???
Hence, the required probability is 0.006.
