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شائع Word Problems >

An ordinary die is thrown. Find the probability that the number obtained is even or greater than 4?

الحلّ

A n or d ina ry d i e i s t h ro w n . F in d t h e p ro babi l i t y t ha t t h e n u mb er o b t ain e d i s e v e n or g re a t er t han 4 ?

الحلّ

\frac{2}{3}

+1

عشري

0.66666 \dots

خطوات الحلّ

Find the probability of the number obtained is even:

\frac{1}{2}

Find the probability of greater than 4:

\frac{1}{3}

Find the probability of the number obtained is even and greater than 4:

\frac{1}{6}

Use the Inclusion-Exclusion formula

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

= \frac{1}{2} + \frac{1}{3} - \frac{1}{6}

\frac{1}{2} + \frac{1}{3} - \frac{1}{6} = \frac{2}{3}

= \frac{2}{3}

أمثلة شائعة

The circumference of a circle is 8pipi ft. Find its radius, in feet.The circumference of a circle is 14pipi cm. Find its diameter, in centimeters.The sum of a number and its square is 6 . Find the number(s).The radius of a circle is 11 ft. Find its area in terms of pipi.Two buses leave towns 1206 kilometers apart at the same time and travel toward each other. One bus travels 15 km/h slower than the other. If they meet in 6 hours, what is the rate of each bus?