pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?

Solução

I f a f ai r co in i s t osse d 6 t im es, w ha t i s t h e p ro babi l i t y, t o t h e n e a res t t h o u s an d t h, o f g e tt in g e x a c tl y 3 t ai l s ?

Solução

\frac{5}{16}

+1

Decimal

0.3125

Passos da solução

Probability of a tail when a coin is thrown:

\frac{1}{2}

For multiple independent trials

P (x) = n C x \cdot p^{x} \cdot (1 - p)^{n - x}

number of trials

n = 6

number of successes

x = 3

probability of success in any one trial

p = \frac{1}{2}

P (3) = 6 C 3 (\frac{1}{2})^{3} (1 - \frac{1}{2})^{6 - 3}

6 C 3 = 20

= 20 (\frac{1}{2})^{3} (\frac{1}{2})^{3}

20 (\frac{1}{2})^{3} (\frac{1}{2})^{3} = \frac{5}{16}

= \frac{5}{16}

Exemplos populares

After a 30% discount, a pair of jeans costs 72. What was the original price?The product of two consecutive positive integers is 30. Find the value of the greater integer.The circunferência of a circle is 14pi in. What is the area, in square inches? Express your answer in terms of pipi.Two times the sum of a number and 5 is equal to 7 Eleven times the difference of three times a number and 4 is more than-11