SAT Math Question of the Day

Math Category: Probability:

Q: Zoe has a messy (and randomly ordered) sock drawer. In it she has 10 white socks, 2 black socks, 2 pink socks, and 4 beige socks. If she pulls out a white sock, what is the probability that the next randomly choosen sock will be white too?

  1. 4/9
  2. 1/2
  3. 9/17
  4. 5/9
  5. 10/17

UNANSWERED.

The correct answer is C.

A: The answer is 9/17.
Probability is outcomes wanted / all outcomes.
How many socks are there in all? 10 white socks + 2 black socks + 2 pink socks + 4 beige socks = 18 socks. But Zoe has already removed 1 white sock, leaving 17 socks in the drawer.
Next, how many ways are there to get the white sock she wants? There are only 9 white socks left in the drawer.
The probability is outcomes wanted / all outcomes = 9/17.