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There are two identical bottles. One bottle contains 2 green balls and 1 red ball. The other contains 2 red balls. A bottle is selected at random and a single ball is drawn. What is the probability that the ball is red

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Answer:

2/3

Step-by-step explanation:

P(b1) = probability of bottle 1 = 1/2

P(b2) = probability of bottle 2 = 1/2

Bottle 1 = 2 green, 1 red ; total = 3

P(red ball1) = 1/3

Bottle 2 : red balls = 2, total balls = 2

P(red ball2) = 2/2 = 1

P(red ball) = [p(b1) * p(redball1)] = 1/2 * 1/3 = 1/6

P(red ball) = [p(b2) * p(redball2)] = 1/2 * 1 = 1/2

1/6 + 1/2 = (1 + 3) / 6 = 4/6 = 2/3

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