ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

Find the conditional probability, in a single roll of two fair 6-sided dice, that the sum is greater than 6, given that neither die is a five.

الحلّ

F in d t h e co n d i t i o na l ​ p ro babi l i t y, in a s in g l e ro ll o f tw o f ai r ​ 6 - s i d e d d i ce, t ha t t h e s u m i s g re a t er t han 6​, g i v e n t ha t n e i t h er d i e i s a f i v e .

الحلّ

\frac{7}{12}

+1

عشري

0.58333 \dots

خطوات الحلّ

The possible outcomes when two dice are rolled are

6 \cdot 6

Therefore, the number of possible outcomes:

6^{2}

Find the number of favorable outcomes of in a single roll of 2 fair 6 -sided dice that the sum is greater than 6 given that die is a 5:

21

Probability

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

= \frac{21}{6 ^{2}}

\frac{21}{6 ^{2}} = \frac{7}{12}

= \frac{7}{12}

أمثلة شائعة

Hassan’s age is three times Parul’s age. Samuel’s age is one-half Parul’s age. The total of their ages is 18. How old is Parul?Maya puts 800.00 into an account to use for school expenses. The account earns 2% interest, compounded annually. How much will be in the account after 10 years?Anna has a can of fruit cocktail in the pantry. The circular lid has a diameter of 10 centimeters. What is the lid's radius?78 is 125 percent of what number 30percentage of the class are 10 yars old and the other 21 children are 11 year old how many children were the class