Double-Dice DexData & Chance · statistics and probability

Rolls two dice at once: compound events, and and or.

Compound Events

Compound events, and and or. In MathBound, the free Algebra I adventure game, Double-Dice Dex asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

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10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

And and Or. Find P(A and B) for independent events.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · And and Or

4

coins

are

tossed.

What

is

the

probability

that

all

of

them

land

heads ?

$\frac{1}{2}$
$\frac{1}{8}$
$\frac{1}{4}$
$\frac{1}{16}$

Show the worked steps

$Each$ $coin$ $lands$ $heads$ $with$ $probability$ $\frac{1}{2},$ $independently.$
$Multiply$ $4$ $of$ $them:$ $\frac{1}{16} .$

Answer: $\frac{1}{16}$

Example 2 · And and Or

A

coin

is

tossed

and

a

number

cube

is

rolled.

What

is

the

probability

of

tails

and

an

even

number ?

$\frac{1}{4}$
$\frac{3}{8}$
$\frac{1}{5}$
$\frac{1}{2}$

Show the worked steps

$The$ $events$ $are$ $independent,$ $so$ $multiply:$ $P (tails) = \frac{1}{2}, P (an$ $even$ $number) = \frac{1}{2} .$
$\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4} .$

Answer: $\frac{1}{4}$

Example 3 · And and Or

Cards

numbered

1

to

8

are

shuffled,

and

two

are

drawn

without

replacement.

What

is

the

probability

that

the

first

is

2

and

the

second

is

5 ?

$\frac{1}{8}$
$\frac{1}{4}$
$\frac{1}{56}$
$\frac{1}{64}$

Show the worked steps

$P (first$ $is$ $2) = \frac{1}{8};$ $then$ $7$ $cards$ $are$ $left:$ $P (second$ $is$ $5) = \frac{1}{7} .$
$\frac{1}{8} \cdot \frac{1}{7} = \frac{1}{56} .$

Answer: $\frac{1}{56}$

Where it is in your textbook

Textbook	Lessons
Glencoe Algebra 1	12-7
Holt McDougal Larson Algebra 1	11.4, 11.5
Pearson Algebra 1 Common Core	12-8

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