Question

Box1: 40 green balls, 3 red balls, 28 blue balls

Box2: 22 green balls, 24 red balls, 30 blue balls

Experiment: Randomly select one of the two boxes with a 75% of selecting box 1, and 25% chance of selecting box 2, and then draw two balls from the selected box. Record the box number as the r.v. i, and the colors of the two balls as b₁, b₂.

Compute P( i = 1 | b₁ = blue)

[Round to 3 digits after decimal point]

Answer 1

here is the solution of your question I have used conditional probability law.

solution is explanatory in nature.

Please upvote If I am able to hel you.

Thanks,