There are two bags A and B. A contains 6 red flowers and 3 pink flowers where…
2023
There are two bags A and B. A contains 6 red flowers and 3 pink flowers where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink ?
- A.
4/9
- B.
1/3
- C.
5/9
- D.
2/9
Attempted by 14 students.
Show answer & explanation
Correct answer: C
Answer: 5/9
Key idea: consider the two-stage process — first choose a bag (each with probability 1/2), then pick a flower from that bag.
Probability of choosing bag A = 1/2. Probability of pink from bag A = 3 pink out of 9 total = 3/9.
Probability of choosing bag B = 1/2. Probability of pink from bag B = 7 pink out of 9 total = 7/9.
Total probability = 1/2*(3/9) + 1/2*(7/9) = (3+7)/(2*9) = 10/18 = 5/9.
Therefore, the probability that the chosen flower is pink is 5/9.