There are two bags containing white and black balls. In the first bag there…
2026
There are two bags containing white and black balls. In the first bag there are 6 white and 4 black balls and in the second bag, there are 5 white and 6 black balls . One ball is drawn at random from any of these two bags. Find the probability of this ball being black .
- A.
52/ 55
- B.
7/54
- C.
21/77
- D.
26/55
Attempted by 48 students.
Show answer & explanation
Correct answer: D
Choose either bag with probability 1/2. Probability of black from the first bag is 4/10, and from the second bag is 6/11. Total probability = (1/2)(4/10) + (1/2)(6/11) = 1/5 + 3/11 = 26/55.