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If you toss a fair coin 6 times, what is the probability of getting all heads? Write your answer as a simplified fraction.

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Solution

Sure, here's how you can calculate the probability:

  1. First, you need to understand that each coin toss is an independent event, meaning the result of one toss doesn't affect the results of the other tosses.

  2. For a fair coin, the probability of getting a head (H) in a single toss is 1/2 or 0.5.

  3. Since you're tossing the coin 6 times, and you want to find the probability of getting all heads, you would multiply the probability of getting a head in a single toss by itself 6 times.

So, the calculation would be (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2).

  1. This simplifies to (1/2)^6 = 1/64.

So, the probability of getting all heads when tossing a fair coin 6 times is 1/64.

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