In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Two containers each contain some balls of Red and Blue color. Now all the balls of these two containers are mixed into a single third container which also contained some Red and Blue color balls initially as well. If 5 balls are taken out, then find the probability that all the balls taken out are Red in color. Statement 1∶ Total number of balls finally in 3rd container is 135. Statement 2∶ Ratio of balls in 1st container and 2nd container is 2 ∶ 7 Statement 3∶ Ratio of Red and Blue balls in 3rd container before mixing is 2 ∶ 3?

Only statement 1 is sufficient to answer the question.
Only statement 1 and 2 are sufficient to answer the question.
Only statement 2 and 3 are sufficient to answer the question.
All the statements are sufficient to answer the question.
All the statements are not sufficient to answer the question.

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 5 : All the statements are not sufficient to answer the question.

Ratio of balls in 1^st container and 2^nd container is 2 ∶ 7

Let balls in 1^st container = 2x

Balls in 2^nd container = 7x

Total balls of 1^st and 2^nd container mixed in 3^rd container = 2x + 7x = 9x

Ratio of red balls and blue balls in 3^rd container before mixing = 2 ∶ 3

Red balls = 2y and Blue balls = 3y , total balls in 3^rd container already is = 5y

Total balls after mixing in 3^rd container is = 9x + 5y

∴ No relation between the red balls and blue balls of 1^st and 2^nd container is given, and we cannot infer answer from the given statements.

∴ All the statements are not sufficient to answer the question.

4 views Answered 2022-09-04 04:29

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