A bag is chosen at random from three bags and with probabilities and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

A bag is chosen at random from three bags

B_1,B_2

and

B_3

with probabilities

0.4,0.3

and

0.3

respectively. Bag

B_1

contains

5

red and

5

blue balls, while bag

B_2

contains

3

red and

7

blue balls. Bag

B_3

contains an unknown proportion of red balls. If the overall probability of drawing a red ball is

0.41

, what is the probability of drawing a red ball from bag

B_3

? (a)

0.5

(b)

0.4

(c)

0.6

(d)

0.43