A bag contains 22 roses of three different colours like yellow white and pink The ratio of yellow ro...........

Quantitative Aptitude ( CCS) Probability

A bag contains 22 roses of three different colours like yellow, white and pink. The ratio of yellow roses to pink roses is 1:2 resp. and the probability of choosing two white rose from the bag is 1/11. If two roses are picked from the bag. What is the probability that one rose is white and other one is pink?

13/30

10/33

15/37

10/29

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Explanation:

Let the number of white roses be x.
Probability of choosing two white roses = 1/11
xC2/22C2 = 1/11
=> x = 7
Number of yellow and pink roses = 22 – 7 = 15
Number of pink roses = 2/(1+2)*15 = 10
Required Probability = 7C1*10C1/22C1 = 10/33

Hence, option 2 is the correct answer.