SAT Math

Category - Stats and Probability

Four dice are rolling. What is the probability that 2 odd numbers and 2 numbers divisible by 3will come up?
  1. 1/8
  2. 1/12
  3. 1/18
  4. 1/24
  5. 1/36
Explanation
Answer: E - The probability that 2 odd numbers and 2 numbers divisible by 3 will come up is 1/36. The probability of getting any number on one die in no way influences the probability of getting a number on any other die. The probability of getting an odd number is
{odd numbers}/{all numbers} =3/6=1/2

The probability of getting a number divisible by 3 is
{numbers divisible by 3}/{all numbers} =2/6=1/3

Since the events are independent, we multiply probabilities of each event.
1/2×1/2×1/3×1/3=1/36
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