Question

2. A bag contains 35 balls of three different colors viz. red, orange and pink. The ratio of red balls to orange balls is 3 : 2, respectively and probability of choosing a pink ball is 3/7. If two balls are picked from the bag.then wh
at is the probability that one balls is orange &one ball is pink?
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Answer 1

Answer:

let the num ber of pink ball =x

Answer 2

Step-by-step explanation:

• So let the number of pink balls be m.
• So the probability of choosing a pink ball will be m/35
• Now m/35 = 3/7
• So m/5 = 3
• Or m = 15
• So remaining number of balls will be 35 – 15 = 20
• so we have the Ratio of red balls to orange balls is 3:2
• So number of orange balls = 2 / (3 + 2)
•                                              = 2/5
• So number of orange balls will be 2/5 x 20
•                                                       = 8
• So the probability will be 8C1 x 15C1 / 35 C2
• So we have nCr = n! / r! (n – r)!
•                     35C2 = 35! / 2! (35 – 2)!
•                                = 35 x 34 x 33! / 2 x 33!
•                               = 35 x 17
•                               = 595
• Now we get 8 x 15 / 595
•                  = 24 / 119

Reference link will be

https://brainly.in/question/2546983