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Popular Word Problems >

Philip tosses a coin 4 times. What is the probability that the coin will land on heads all four times?

Solution

P hi l i p t osses a co in 4 t im es . Wha t i s t h e p ro babi l i t y t ha t t h e co in w i ll l an d o n h e a d s a ll f o u r t im es ?

Solution

\frac{1}{16}

+1

Decimal

0.0625

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 the coin will land on heads all 4 times:

1

Probability

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

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

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