en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

What is the probability of throwing a 3 or a 5 in one roll of an ordinary die?

Solution

Wha t i s t h e p ro babi l i t y o f t h ro w in g a 3 or a 5 in o n e ro ll o f an or d ina ry d i e ?

Solution

\frac{1}{3}

+1

Decimal

0.33333 \dots

Solution steps

Find the probability of throwing a 3:

\frac{1}{6}

Find the probability of a 5 in 1 roll of an ordinary die:

\frac{1}{6}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

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

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

= \frac{1}{3}

Popular Examples

calculate the perimeter of a rectangle with length 8.5cm and width 5.2cm A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/14. Find the two integers.What is the volume of a sphere with a radius of 3.3 m, rounded to the nearest tenth of a cubic meter?jake has 7 apples he eats 5 how many does he ave left Bert is 5 times as old as Ernie. Nine years ago, the sum of their ages was 48. Determine both their ages now.