Q2. A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The selection of the two bags are equiprobable. A bag is selected at random. From the selected bag a ball is taken out. The drawing of each ball is also equiprobable. A is the event: “the first bag is selected" B is the event: "the second bag is selected" H is the event: "the ball drawn is red" Then find P(A), P(B), P(H/A) and P(H/B).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The
selection of the two bags are equiprobable. A bag is selected at random. From the selected bag a
ball is taken out. The drawing of each ball is also equiprobable.
Q2.
A is the event: “the first bag is selected"
B is the event: “the second bag is selected"
H is the event: “the ball drawn is red"
Then find P(A), P(B), P(H/A) and P(H/B).
Transcribed Image Text:A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The selection of the two bags are equiprobable. A bag is selected at random. From the selected bag a ball is taken out. The drawing of each ball is also equiprobable. Q2. A is the event: “the first bag is selected" B is the event: “the second bag is selected" H is the event: “the ball drawn is red" Then find P(A), P(B), P(H/A) and P(H/B).
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