## One bag contains 3 red and 5 black balls. Another bag contains 6 red and 4 black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is red.

CBSE Class 12 Sample Paper for 2019 Boards

Paper Summary

Question 1 Important

Question 2

Question 3

Question 4 (Or 1st) Important

Question 4 (Or 2nd)

Question 5

Question 6

Question 7 Important

Question 8 (Or 1st) Important

Question 8 (Or 2nd)

Question 9

Question 10 (Or 1st) Important

Question 10 (Or 2nd)

Question 11 Important

Question 12 (Or 1st) You are here

Question 12 (Or 2nd)

Question 13 (Or 1st) Important

Question 13 (Or 2nd)

Question 14 Important

Question 15

Question 16 (Or 1st)

Question 16 (Or 2nd) Important

Question 17

Question 18

Question 19 Important

Question 20 Important

Question 21 (Or 1st)

Question 21 (Or 2nd) Important

Question 22

Question 23 Important

Question 24 (Or 1st)

Question 24 (Or 2nd) Important

Question 25

Question 26 (Or 1st) Important

Question 26 (Or 2nd)

Question 27 (Or 1st) Important

Question 27 (Or 2nd) Important

Question 28

Question 29 Important

Class 12

Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Nov. 30, 2021 by Teachoo

Question 12 (OR 1st question) One bag contains 3 red and 5 black balls. Another bag contains 6 red and 4 black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is red. 3 Red (R) 5 Black (B) 6 Red (R) 4 Black (B) Probability that ball drawn is red = Probability that ball transferred is red × Probability that red ball is picked from 2nd bag + Probability that ball transferred is black × Probability that red ball is picked from 2nd bag 3 Red (R) 5 Black (B) 6 Red (R) 4 Black (B) If red ball is transferred Probability that ball transferred is red = 3/8 Probability of getting a red ball from Bag II = 7/11 If black ball is transferred Probability that ball transferred is black = 5/8 Probability of getting a red ball from Bag II = 6/11 Thus, Probability that ball drawn is red = 3/8 × 7/11 + 5/8 × 6/11 = 21/88 + 30/88 = 51/88 Thus, required probability is 𝟓𝟏/𝟖𝟖