Question

12 yellow balls and 7 red balls are placed in an urn. two balls are then drawn in succession without replacement. what is the probability that the first ball drawn is a red ball if the second ball drawn is yellow?

Answer 1

Total number of balls = 12 + 7 = 19

p(first ball is a red) = 7/19

Answer: 7/19

Answer 2

Using the probability concept, the probability of the required event is 0.2456

Given the Parameters :

• Number of yellow balls = 12
• Number of red balls = 7

Total number of balls = 12 + 7 = 19

Recall :

• Probability = required outcome / Total possible outcomes

First draw :

P(Red) = 7 /19

Second draw : (total left = 19 - 1) = 18 balls :

P(yellow) = 12 / 18

P(First red, then yellow) = 7/19 × 12/ 18 = 0.2456

Therefore, the required probability is 0.2456

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