There are 2 bags A and B. Bag A contains 6 red flowers and 3 pink flowers…
2025
There are 2 bags A and B. Bag A contains 6 red flowers and 3 pink flowers whereas 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.
3/4
- D.
5/9
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept: When one item is drawn from a pool made up of several groups, and every individual item is equally likely to be chosen, the probability of drawing a particular type equals the total count of that type across all groups divided by the total count of items across all groups.
Bag A has 6 red + 3 pink = 9 flowers.
Bag B has 2 red + 7 pink = 9 flowers.
Combined total flowers across both bags = 9 + 9 = 18.
Combined pink flowers across both bags = 3 + 7 = 10.
Probability (pink) = 10 / 18 = 5/9.
Cross-check: Since Bag A and Bag B each hold the same total number of flowers (9 apiece), selecting a bag at random and then a flower from it gives an identical result — half of Bag A's pink share plus half of Bag B's pink share works out to the same 5/9, confirming the pooled calculation.
