Nitin has 8 grey socks and 8 white socks. He pulls two socks randomly without…
2024
Nitin has 8 grey socks and 8 white socks. He pulls two socks randomly without looking at them. What is the probability that both are white?
- A.
1/8
- B.
8/30
- C.
1/2
- D.
7/30
Attempted by 41 students.
Show answer & explanation
Correct answer: D
Answer: 7/30
Method 1 (combinations): Total ways to choose 2 socks from 16 is C(16,2) = 120. Favorable ways to choose 2 white socks from 8 is C(8,2) = 28. Therefore probability = 28/120 = 7/30.
Method 2 (sequential probability): Probability first sock is white = 8/16. Given the first is white, probability the second is white = 7/15. Multiply: (8/16)*(7/15) = 7/30.
Final answer: 7/30