jee-main 2024 Q80

jee-main · India · session1_30jan_shift2 Conditional Probability Bayes' Theorem with Production/Source Identification
Bag $A$ contains 3 white, 7 red balls and bag $B$ contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from the bag $A$, if the ball drawn is white, is:
(1) $\frac{1}{4}$
(2) $\frac{1}{9}$
(3) $\frac{1}{3}$
(4) $\frac{3}{10}$
Bag $A$ contains 3 white, 7 red balls and bag $B$ contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from the bag $A$, if the ball drawn is white, is:\\
(1) $\frac{1}{4}$\\
(2) $\frac{1}{9}$\\
(3) $\frac{1}{3}$\\
(4) $\frac{3}{10}$