Two balls are drawn at random with replacement from a box containing 10 blue…
2021
Two balls are drawn at random with replacement from a box containing 10 blue and 8 pink balls. What is the probability that both the balls are pink?
- A.
4/9
- B.
16/81
- C.
64/81
- D.
8/81
Attempted by 20 students.
Show answer & explanation
Correct answer: B
Total balls = 10 blue + 8 pink = 18 balls.
Probability of picking one pink ball = 8/18 = 4/9.
Since balls are drawn with replacement, the events are independent.
Probability of both being pink = (Probability of first pink) × (Probability of second pink).
4/9 × 4/9 = 16/81.
Final Answer: Option 2 (16/81)