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Lesson: Applied Arithmetic - 30t01

In-Format Probability

[Page 30 of 36]
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If a fair coin is tossed 4 times, what's the probability that at least 3 of the 4 tosses will come up heads?

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Because the individual tosses can have different outcomes, we're best off calculating the number of possible outcomes and then coming up with the number of desired outcomes by listing out the possibilities.

There are 2 possible outcomes for each toss, so after 4 tosses there are a total of 2 x 2 x 2 x 2 = 16 possible outcomes.

Let's list out all the possibilities where "at least 3 of the 4 tosses" come up heads:

H, H, H, T
H, H, T, H
H, T, H, H
T, H, H, H
H, H, H, H

So there are a total of 5 possible desired outcomes. Thus, the probability that at least 3 of the 4 tosses will come up heads is .

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