de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Word Problems >

3 coins is tossed 7 times. What is the probability 3 heads?

Lösung

3 co in s i s t osse d 7 t im es . Wha t i s t h e p ro babi l i t y 3 h e a d s ?

Lösung

\frac{35}{128}

+1

Dezimale

0.2734375

Schritte zur Lösung

Probability of a head 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 = 7

number of successes

x = 3

probability of success in any one trial

p = \frac{1}{2}

P (3) = 7 C 3 (\frac{1}{2})^{3} (1 - \frac{1}{2})^{7 - 3}

7 C 3 = 35

= 35 (\frac{1}{2})^{3} (\frac{1}{2})^{4}

35 (\frac{1}{2})^{3} (\frac{1}{2})^{4} = \frac{35}{128}

= \frac{35}{128}

Beliebte Beispiele

Aubree invested 8,300 in an account paying an interest rate of 2.2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?Melanie invested 5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?Kennedy invested 5,000 in an account paying an interest rate of 6.4% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 15 years?What is the result when the number 10 is decreased by 20%?27 is 30% of what number?