Problem 52
Question
If you toss a fair coin seven times, what is the probability of getting all tails?
Step-by-Step Solution
Verified Answer
The probability of getting all tails when tossing a fair coin seven times is \(\frac{1}{2^7}\).
1Step 1: Determine the total number of possible outcomes
In each toss of a fair coin, there are two possible outcomes, either heads or tails. Therefore, for seven tosses, the total number of possible outcomes is \(2^7\).
2Step 2: Determine the desired outcome
In this case, the desired outcome is to get tails on all seven tosses, which can happen in only one way.
3Step 3: Calculate the probability
The probability of the desired outcome happening is calculated by dividing the number of ways the desired outcome can happen by the total number of possible outcomes. That is, \(Probability = \frac{Number of desired outcomes}{Total number of possible outcomes} = \frac{1}{2^7}\).
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