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شائع Word Problems >

You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?

الحلّ

Y o u f l i p a co in 12 t im es . Wha t i s t h e p ro babi l i t y o f g e tt in g o n l y o n e t ai l s in a ll 12 t r i es ?

الحلّ

\frac{3}{1024}

+1

عشري

0.0029296875

خطوات الحلّ

The possible outcomes when a coin is thrown

12

times are

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

Therefore, the number of possible outcomes:

2^{12}

Find the number of favorable outcomes of getting only 1 tails in all 12 tries:

12

Probability

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

= \frac{12}{2 ^{12}}

\frac{12}{2 ^{12}} = \frac{3}{1024}

= \frac{3}{1024}

أمثلة شائعة

Calculate the amount of interest earned on a 14,500 investment made for 3 years at 5.5%A die is rolled twice. Find the probability of getting the same number on both rolls The number is twice the number fifteen plus twice the number 12 Jared puts 3,000 into a bank account earning 3.4% interest. Years later, when he takes the money out of the account, he has 4,073.95. About how long did he leave the money in his bank account?Huilan's age is two times Thomas's age. The sum of their ages is 39 . What is Thomas's age?