) A jar contains two balls colored green and purple. An experiment consists of repeatedly drawing one ball from the jar with a replacement (this means the ball is put back in the jar each time) until two greens have been drawn or a ball has been drawn 3 times, whichever comes first.  a) Assuming order matters, write the sample space S for this experiment in set notation. b) Write the following event F in set notation: t

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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8) A jar contains two balls colored green and purple. An experiment consists of repeatedly drawing one ball from the jar with a replacement (this means the ball is put back in the jar each time) until two greens have been drawn or a ball has been drawn 3 times, whichever comes first. 

a) Assuming order matters, write the sample space S for this experiment in set notation.

b) Write the following event F in set notation: the second ball drawn was purple. Then find P(G ∪ F). 

Expert Solution
Step 1

Given that A jar contains two balls colored green and purple.

Balls are selected with replacement until two greens have been drawn or a ball has been drawn 3 times, whichever comes first.

Let us denote G=Green and P=purple.

a)

Sample space:

S={GG, GPG, GPP, PGP, PGG, PPG, PPP}.

Total outcomes in the sample space is 7.

 

 

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