Multiple choice

An urn contains 4 white & 9 Blue balls.K balls are drawn with replacement .Let P(K) be the probability that no two balls appear in succession.

  1. $p(1)=1$
  2. $p(2)=1-{ \left( \frac { 4 }{ 13 } \right) }^{ 2 }$
  3. $p(4)=\frac {9^4+4.9^3+4.9^2.13} {(13)^4}$
  4. $p(1)+p(2)= \frac {250} {169}$
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A Correct answer
AI explanation

When drawing exactly 1 ball from the urn, the concept of drawing consecutive balls of the same color is impossible because only one draw occurs. By the fundamental definition of consecutive events, the probability that two balls appear in succession is zero. Therefore, the probability that no two balls appear in succession for a single draw is exactly 1.

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