Question

A basket is filled with 4 pink, 3 green and 6 blue balls. If 5 balls are picked randomly, what is the probability that 2 green and 3 blue are picked? 
1. 21/429
2. 40/429
3. 61/1287
4. 52/1287
5. 20/429

Answer 1

Correct Answer - Option 5 : 20/429

Given:

Pink balls = 4

Green balls = 3

Blue balls = 6

Total balls = 13

Calculation:

Total number of outcomes = (13 × 12 × 11 × 10 × 9)/(5 × 4 × 3 × 2 × 1) = 1287

⇒ Favourable number of outcomes

⇒ (3 × 2)/ (2 × 1) × (6 × 5 × 4)/ (3 × 2)

⇒ 3 × 20

⇒ 60

∴ Required Probability = 60/1287 = 20/429.