Multiple choice

A box contained 5 identical sized cubes out of which 3 were green and 2 were yellow. Two random draws of one cube each were made, such that the first cube was replaced into the box before making the second draw. What is the probability that first drawn cube was green and the second was yellow?

  1. 2/25

  2. 3/25

  3. 4/25

  4. 1/5

  5. 6/25

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The probability of the first drawn cube being green are 3/5. As the first cube is replaced back into the box, the probability of second drawn cube being yellow is 2/5. Since both the events are independent of each other, the combined probability, using Multiplication theorem of probability is (3/5)x(2/5) = 6/25.