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Popular Word Problems >

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 co in i s t osse d f o u r t im es in a ro w . Dr a w a t ree d ia g r am t o d i s pl a y t h e o u t co m es . Wha t i s t h e p ro babi l i t y t ha t a t l e a s t tw o t ai l s w i ll a pp e a r

Solution

\frac{11}{16}

+1

Decimal

0.6875

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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