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 die is to be thrown twice. What is the probability that the result on the first thrown is 5 and an even number on the second throw?

Solution

A f ai r d i e i s t o b e t h ro w n tw i ce . Wha t i s t h e p ro babi l i t y t ha t t h e res u lt o n t h e f i rs t t h ro w n i s 5 an d an e v e n n u mb er o n t h e seco n d t h ro w ?

Solution

\frac{1}{12}

+1

Décimale

0.08333 \dots

étapes des solutions

Find the probability of the result on the first thrown is 5:

\frac{1}{6}

Find the probability of an even number on the second throw:

\frac{1}{2}

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}{2}

\frac{1}{6} \cdot \frac{1}{2} = \frac{1}{12}

= \frac{1}{12}

Exemples populaires

Eight minus a number divided by three is greater than or equal to eleven Suppose that a loan of 4,000 is given at an interest rate of 2% compounded each year. find the amount owed after 1 year Eleven less than two times a number x is twenty-nine.7 years ago, Marvin won some money in the lottery and put it in a bank account that earns 7% interest compounded quarterly. If Marvin currently has 1, 000.00 in the bank account, how much interest has he earned?timmy is 10 years older than joann. eight years from now the sum of their ages will be 82. how old are they now?