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Coin tosses are what we call Independent Events, meaning that the results of one toss have no effect on the next toss or any thereafter.
Therefore the probability of each toss is 1/2.
If, however, you want to know the probability of tossing two coins, and each coin landing heads-up, you simply multiply their probabilities together, resulting in 1/4.
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What is the probability of tossing four coins and getting four heads if the first two tosses are heads?
The conditional probability is 1/4.
What is the probability of NOT tossing two heads with two fair coins?
It is 3/4 or 0.75
What is the probability of tossing two coins and getting heads on both?
1/2
What is the probability of tossing two coins that are different?
The probability of tossing two coins that are different is 1 in 2, or 0.5.The probability of tossing something on the first coin is 1. The probability of not matching that on the second coin is 0.5. Multiply 1 and 0.5 together, and you get 0.5.
What is the probability of exactly three heads in four flips of a coin given at least two are heads?
If you know that two of the four are already heads, then all you need to find isthe probability of exactly one heads in the last two flips.Number of possible outcomes of one flip of one coin = 2Number of possible outcomes in two flips = 4Number of the four outcomes that include a single heads = 2.Probability of a single heads in the last two flips = 2/4 = 50%.
