Question

Each of two urns contain green balls and red balls. Urn 1 contains 8 green balls and 12 red balls. Urn 2 contains 5 green balls and 8 red balls. If a ball is drawn from each urn, what is P(red and red)? a. 79/65 b. 24/65 c. 20/33 d. 2/13

Answer 1

For Urn 1, 
                          total number of balls = 8 (green balls) + 12 (red balls) = 20 balls
      The probability of picking a red ball from Urn 1 is equal to 12/20 or 6/10 or 3/5. 

For Urn 2,
                          total number of balls = 5 (green balls) + 8 (red balls) = 13 balls
        The probability of picking a red ball is 8/13.

The probability of picking both red balls from the two urns is the product of the two probabilities which gives us the answer which is equal to 24/65. The answer is letter B.