zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的 Word Problems >

You roll a 6-sided die two times. what is the probability of rolling a 5 and then rolling a 4?

解答

Y o u ro ll a 6 - s i d e d d i e tw o t im es . w ha t i s t h e p ro babi l i t y o f ro ll in g a 5 an d t h e n ro ll in g a 4 ?

解答

\frac{1}{36}

+1

十进制

0.02777 \dots

求解步骤

Find the probability of rolling a 5:

\frac{1}{6}

Find the probability of then rolling a 4:

\frac{1}{6}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{6} \cdot \frac{1}{6}

\frac{1}{6} \cdot \frac{1}{6} = \frac{1}{36}

= \frac{1}{36}

流行的例子

Find the amount of money owed at the end of 3 years if 2700 is borrowed at 1.5% per year compounded monthly and no payments are made on the loan.Henry opened a savings account and deposited 558.00. The account earns 7% interest, compounded quarterly. If he wants to use the money to buy a new bicycle in 3 years, how much will he be able to spend on the bike?\$6148 rate 6% for 9 years annually what is the simple interest?you put \$939 into an investment at 8% for six years. what will the balance be at the end of six years?Two fair dice are rolled. What is the probability that both show up the same number of point?