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What is the probability of getting heads on the one flip of coin?
There are two sides to the coin, so the probability of getting heads or tails on one flip of the coin is 1/2 or 50%.
A coin is tossed 10 times. What is the probability of getting at least one head?
Assuming that it is a fair coin, the probability is 0.9990
What is the probability of tossing a coin 5 times and getting at least one tail and one head?
This is one of those cases where it is probably easier to think what is the probability of not doing it, then subtracting that from 1 to get the probability of doing it. To not get at least one head and one tail, you would have to get all heads or all tails. To get all heads, the probability is (1/2)5. To get all tails is the same probability; so double it to get the probability of either of those. 2(1/2)5=1/16. Subtract the 1/16 from 1 to get 15/16. Answer: 15/16
What is the probability of tossing a coin 9 times and getting at least one head?
The probability is 0.998
What is the probability of obtaining exactly two heads in three flips of a coin given that at least one is a head?
The probability of obtaining exactly two heads in three flips of a coin is 0.5x0.5x0.5 (for the probabilities) x3 (for the number of ways it could happen). This is 0.375. However, we are told that at least one is a head, so the probability that we got 3 tails was impossible. This probability is 0.53 or 0.125. To deduct this we need to divide the probability we have by 1-0.125 0.375/(1-0.125) = approximately 0.4286
