Probability and Conditional Probability

SAT Math· difficulty 4/5

A two-way table records 500 customers by membership and purchase. Members: 200 purchased, 100 didn't. Non-members: 50 purchased, 150 didn't. What is the probability of being a member, given a customer purchased?

  • A

    200/250200/250

    check_circle
  • B

    200/300200/300

  • C

    200/350200/350

  • D

    200/500200/500

Explanation

Total purchasers = 200+50=250200 + 50 = 250. P(memberpurchase)=200/250=0.8P(\text{member} | \text{purchase}) = 200/250 = 0.8.

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