If you flip a coin 3 times, and find the probability of getting exactly two heads, this is compound probability using both "and" and "or" since it is OR OR .
Question
If you flip a coin 3 times, and find the probability of getting exactly two heads, this is compound probability using both "and" and "or" since it is OR OR .
Solution
To find the probability of getting exactly two heads when flipping a coin three times, we need to consider the different ways this can happen.
- The first way is getting a head on the first and second flip, and a tail on the third flip (HHT).
- The second way is getting a head on the first and third flip, and a tail on the second flip (HTH).
- The third way is getting a head on the second and third flip, and a tail on the first flip (THH).
Each individual flip of the coin is an independent event, meaning the outcome of one flip does not affect the outcome of the other flips. The probability of getting a head (H) or a tail (T) on a single flip of a fair coin is 0.5.
So, the probability of each of the above sequences happening is (0.5 * 0.5 * 0.5) = 0.125.
Since these are three distinct ways that we can get exactly two heads, we add up these probabilities.
So, the probability of getting exactly two heads when flipping a coin three times is 0.125 + 0.125 + 0.125 = 0.375.
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