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Chapter 8: Problem 52

If you toss a fair coin seven times, what is the probability of getting all tails?

Short Answer

Expert verified
The probability of getting all tails when tossing a fair coin seven times is \(\frac{1}{2^7}\).

Step by step solution

01

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 \(2^7\).
02

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.
03

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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