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  4. A fair coin is tossed 10 times. If the probability that heads never occur on consecutive tosses be (p/g) where p and q are relatively prime positive integers then find the value of (q-7 p).

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Q. A fair coin is tossed 10 times. If the probability that heads never occur on consecutive tosses be $\frac{p}{g}$ where $p$ and $q$ are relatively prime positive integers then find the value of $(q-7 p)$.

Probability - Part 2

Solution:

Probability $=\frac{{ }^6 C _5+{ }^7 C _4+{ }^8 C _3+{ }^9 C _2+{ }^{10} C _1+1}{9^{10}}=\frac{9}{64}$ (Gap method)