Alopsided coin has a probability of 1/3 for coming up heads and 2/3 for coming up tails. on average, how many flips of this coin are needed to have both heads and tails appear at least once? give your answer as a reduced fraction.

Answer with explanation:

For a Lopsided coin ,probability of getting Head is equal to For a Lopsided coin ,probability of getting Tail  is equal to .

→Probability of getting Tail > Probability of getting Head

→Coin is heavier from tail side and lighter from Head side.

→→We have to Calculate number of flips of coin that is needed to have both heads and tails appear at least once.

→We need to find common multiple of 3 and .

Least common multiple of 3 and is 6.

→So,on Average number of flips of this coin are needed to have both heads and tails appear at least once=6 tosses

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