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What is the probability of getting at least 2 tails in 4 tosses of a fair coin?
The probablility of getting 2 tails in 4 tosses of a fair coin is most likely 50%, 2/4=1/2, or .50.
Was the outcome of getting heads or tails in the 20 tosses same as the probability ratio?
It depends on what variable the probability ratio was for! The random variable could have been the number of heads minus the number of tails, for example.
What is the probability that the fourth toss is tails?
1/2. What the previous tosses are has no impact on what a fourth toss of a coin is, so the chance of getting a tails is the same on any throw.
You are tossing three coins and want to determine the probability for getting at least one head?
Pr(At least one head in three tosses) = 1 - Pr(No heads in three tosses) = 1 - Pr(Three tails in three tosses) = 1 - (1/2)*(1/2)*(1/2) = 1 - 1/8 = 7/8 or 0.875 or 87.5%
What is the probability that a coin will land on tails 75 percent of the time if flip four times?
For 4 coin tosses, there are 16 possible outcomes. Tails on 75% of 4 tosses is 3 times tails, and 1 time heads. This occurs in 4 of those 16 possibilities, so the probability is 4/16 = 1/4 (or 25%). But if the question is 'what is the probability that it's tails at least 75% of the time, then you have to add in the 1 where all 4 are tails, then you have 5/16 (or 31.25%).
