In a betting game in an exhibition two dice P and Q are being used. Dice P has four red…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
In a betting game in an exhibition two dice P and Q are being used. Dice P has four red faces and two white faces whereas dice Q has two red and four white faces. A fair coin is tossed once. If it shows head the game continues by throwing dice P. If it falls tail dice Q is thrown. If first n throws of the die all turn up red, then the probability that P is being used is
- \(\frac{1}{2}\)
- \(\frac{n}{z^{n}+1}\)
- \(\frac{z^{n}}{z^{n}+1}\)
- \(\frac{2}{3}\)
Answer
(C) z^ n z^ n +1
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