Question
A coin is tossed four times. What is the probability that the outcomes of the tosses consist of one tail and three heads?
Ask by Fernandez Curry. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of getting one tail and three heads in four coin tosses is
Solution
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Determine the total number of outcomes:Since the coin is tossed 4 times and each toss has 2 possible outcomes, the total number of outcomes is:
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Count the number of favorable outcomes:We need exactly one tail (T) and three heads (H). The number of favorable outcomes is the number of ways to choose the position of the tail among the 4 tosses:
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Compute the probability:The probability is the number of favorable outcomes divided by the total number of outcomes:
Thus, the probability that the outcomes consist of one tail and three heads is
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Simplify this solution Mind Expander
In a single toss of a coin, there are two possible outcomes: heads (H) or tails (T). When tossing a coin four times, the total number of outcomes is
So the probability is
Now, isn’t that a neat way to combine math and chance? You can imagine each outcome as a little flip of fate!
