fr

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Populaire Word Problems >

A fair coin is tossed 7 times. What is the probability that all tosses will be tails?

Solution

A f ai r co in i s t osse d 7 t im es . Wha t i s t h e p ro babi l i t y t ha t a ll t osses w i ll b e t ai l s ?

Solution

\frac{1}{128}

+1

Décimale

0.0078125

étapes des solutions

The possible outcomes when a coin is thrown

7

times are

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

Therefore, the number of possible outcomes:

2^{7}

Find the number of favorable outcomes of all tosses will be tails:

1

Probability

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

= \frac{1}{2 ^{7}}

2^{7} = 128

= \frac{1}{128}

Exemples populaires

The product of a number and 12 decreased by 13 is 611. Find the number.Akira is saving up money to buy a car. Akira puts 5,000.00 into an account which earns 7% interest, compounded quarterly. How much will she have in the account after 10 years?If a circle has a diamètre of 32in ,:what is the radius?Tom has a circular clock with a circonférence of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch?Seven less than 3 times the sum of a number and 5 is at most 11. Find all numbers that satisfy this condition