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There are two bags A and B. 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?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
In this problem, there are two 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. If one flower is picked randomly, the probability of choosing a pink flower will be 5/9.
Probability is an important concept in mathematics and it plays a crucial role in a wide range of applications. In probability, we calculate the likelihood of an event happening. The probability of an event is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Solution:
To find the probability that the flower chosen is pink, we need to add the number of pink flowers in both bags and divide it by the total number of flowers in both bags.
Total number of pink flowers = Pink flowers in bag A + Pink flowers in bag B
= 3 + 7 = 10 pink flowers
Total number of flowers in both bags = flowers in bag A + flowers in bag B
= 6 + 3 + 2 + 7 = 18 flowers
Therefore, the probability of picking a pink flower is:
Probability = Total number of pink flowers / Total number of flowers
Probability = 10/18 = 5/9
Hence, the probability that the flower chosen is pink is 5/9.
Summary:
There are two bags A and B. 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?
The probability of choosing a pink flower when one flower is chosen randomly from one of the bags is 5/9. This can be calculated by adding the number of pink flowers in both bags and dividing it by the total number of flowers in both bags. It is important to note that the probability of picking a pink flower would be different if the flowers were replaced after being chosen, or if multiple flowers were chosen at once.
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