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A coin is tossed four times in a row. Draw a tree diagram to display the outcomes. What is the probability that at least two tails will appear

Solution

A coin is tossed four times in a row. Draw a tree diagram to display the outcomes. What is the probability that at least two tails will appear

Solution

\frac{11}{16}

Solution steps

The possible outcomes when a coin is thrown four times are

2 \cdot 2 \cdot 2 \cdot 2

Therefore, the number of possible outcomes:

2^{4}

Find the number of favorable outcomes of at least 2 tails will appear:

11

Probability

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

= \frac{11}{2 ^{4}}

2^{4} = 16

= \frac{11}{16}

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