Multiple choice

A basket contains 6 blue, 2 Red , 4 green and 3 yellow balls. If 4 balls are picked at random, what is the probability that 2 are red and 2 are green ?

  1. 4/15

  2. 5/57

  3. 1/3

  4. 2/455

  5. 6/455

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

Total balls = 6+2+4+3 = 15. We need to pick exactly 2 red and 2 green balls. Number of ways to choose 2 red from 2 = C(2,2) = 1. Number of ways to choose 2 green from 4 = C(4,2) = 6. Total favorable outcomes = 1 × 6 = 6. Total ways to choose any 4 balls from 15 = C(15,4) = 1365. Probability = 6/1365 = 2/455 after simplification (divide numerator and denominator by 3).