SAT Math Question of the Day

Math Category: Probability:

Q: Dylan has an old broken tv set that shows only odd numbered channels between 1 and 13 inclusive. Each time he turns on the tv it goes to one of these channels randomly. Dylan turns on the tv. What is the chance that the tv channel number is a multiple of 3?

  1. 1/7
  2. 1/5
  3. 2/7
  4. 1/3
  5. 2/5

UNANSWERED.

The correct answer is C.

A: The answer is 2/7.
First list all the channels Dylan has: 1 to 13 inclusive means 1, 3, 5, 7, 9, 11, and 13... for a total of 7 channels. Which of those channels are a multiple of 3? Only 3 and 9 are... so there are 2 ways for the desired event to happen. The probability is 2/7.