A coin is tossed $6$ times, find the probability of getting no tails.
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A coin is tossed $6$ times, find the probability of getting no tails.
For each toss, the probability of getting a head is 1/2 and a tail is 1/2. Getting no tails means getting all heads. The probability of getting heads in 6 consecutive tosses is (1/2)^6 = 1/64.
Getting no tails in six tosses means getting heads all six times. The probability of getting a head on a fair coin is 1/2, so the probability of six consecutive heads is (1/2)^6. This equals 1/64. The answer is 1/64.