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Popular Word Problems >

Two fair coins are tossed together. Find the probability of getting: exactly one tail and at least one tail.

Solution

Tw o f ai r co in s a re t osse d t o g e t h er . F in d t h e p ro babi l i t y o f g e tt in g : e x a c tl y o n e t ai l an d a t l e a s t o n e t ai l .

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

The possible outcomes when a coin is thrown two times are

2 \cdot 2

Therefore, the number of possible outcomes:

2^{2}

Find the number of favorable outcomes of getting: exactly 1 tail and at least 1 tail:

2

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{2}{2 ^{2}}

Cancel the common factor:

2

= \frac{1}{2}

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