en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

A die is rolled. What is the probability of rolling a 5 or a number greater than3

Solution

A d i e i s ro ll e d . Wha t i s t h e p ro babi l i t y o f ro ll in g a 5 or a n u mb er g re a t er t han 3

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

Find the probability of rolling a 5:

\frac{1}{6}

Find the probability of a number greater than 3:

\frac{1}{2}

Find the probability of rolling a 5 and a number greater than 3:

\frac{1}{6}

Use the Inclusion-Exclusion formula

P (X \lor Y) = P (X) + P (Y) - P (X \land Y)

= \frac{1}{6} + \frac{1}{2} - \frac{1}{6}

Add similar elements:

\frac{1}{6} - \frac{1}{6} = 0

= \frac{1}{2}

Popular Examples

10 years ago, Aaron won some money in the lottery and put it in a bank account that earns 4% interest compounded quarterly. If Aaron currently has 300.00 in the bank account, how much interest has he earned?Find the final amount of money in an account if 5900 is deposited at 2% interest compounded annually and the money is left for 8 years.Six and two fifths of what number is 6 1/4 ?The quotient of 17 and a number is 1/6 a number increased by four