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    Finding a probability based on a table

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    1. How many ways can 15 girls be chosen to form a baseball team (need 9 players)?

    5005
    1,816,214,400
    24
    135

    3. Use this table to answer questions #3 through #6. Some students were asked if they carry a credit card. Here are the responses.
    Class______ | Credit Card Carrier | Not a Credit Card Carrier | Total
    Freshman______________33_______________________27________________60
    Sophomore______________6_______________________34________________40
    Total__________________39_______________________61________________100
    What is the probability that the student didn't carry a credit card?

    4. What is the probability that the student is a freshman and carries a credit card?

    5. What is the probability that the student is a sophomore given he doesn't carry a credit card?

    6. Are Credit Card Carriers and Freshmen independent events? Prove this mathematically

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    https://brainmass.com/statistics/probability/finding-a-probability-based-on-a-table-131873

    Solution Preview

    1. How many ways can 15 girls be chosen to form a baseball team (need 9 players)?

    5005
    1,816,214,400
    24
    135

    Solution. The number ways is
    C(15, 9)=15!/[9!*6!]=5005

    So, the first answer is correct.

    3. Use this table to answer questions #3 through #6. Some students were asked if they carry a credit card. Here are the responses.
    Class______ | Credit Card Carrier | Not a Credit Card Carrier | ...

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