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If nine fair coins are tossed what is the probability of obtaining at least one head and at least one tail using the complement formula?
255/256 (complement formula)
How many possible outcomes for flipping 2 coins?
Assuming the coins are fair, two-sided coins, and landing on their sides is not an option, there are four possible outcomes if you consider coin a having a head and coin b having a tail being a different instance from coin a being a tail and coin be having a head. Here they are; Coin A | Coin B Heads | Tails Heads | Heads Tails....| Heads Tails....| Tails
If you flip a coin twice what is the set of possible outcomes for this?
Let H mean Head and T mean Tail. The outcomes from flipping a coin twice are the same as flipping two coins together. You might get H + H, or H + T, or T + H, or T + T. So there are four possible outcomes. They are each equally likely but if you ask, "What are the chances of throwing H + H" the answer is 1 out of 4 or 25% or 0.25, and the same for throwing T + T. However, if you ask the question, "What is the chance of throwing a H with a T the probability is 2 out of 4 because there are two ways of doing that. So the probability there is 2 out of 4, or 1 out of 2, or 50% or 0.5
If you flip a coin 5 times what is the probability that the results are all heads or all tails?
The probability of getting all heads or all tails in 5 flips of a coin is 1 in 16.The probability of getting a head or a tail on the first flip is 1 in 1. The probability of each of the following coins matching the first coin is 1 in 2. Simply multiply the five probabilities (1 in 1) (1 in 2) (1 in 2) (1 in 2) (1 in 2) and you get 1 in 16.It is true that the probability of getting all heads is 1 in 32, and the probability of getting all tails is also 1 in 32. Since the question asked the probability of both cases (all heads or all tails), the answer is 1 in 16.
What is the Probability of getting a head on coin followed by a number on the die?
The probability is 1/2 since you are certain to get a number on the die.
