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Alien<br />

Encounters!<br />

A visit from aliens is highly unlikely—but<br />

it could happen!<br />

Use your imagination and your knowledge of<br />

probability to answer these questions.<br />

One afternoon, a fleet of spaceships is hovering<br />

above your schoolyard.<br />

As the spaceships touch down, small faces peer out<br />

through the windows. Each face is green or purple,<br />

has 3, 5, or 8 eyes, and is shaped like a triangle<br />

or a hexagon.<br />

1. How many different face types might you see?<br />

Use a table or a tree diagram to explain<br />

your thinking.<br />

2. You are one of 40 students and 10 teachers<br />

who rush out to greet the aliens.<br />

Who will approach the spaceships?<br />

To decide, names are put in a hat.<br />

One name will be drawn.<br />

What is the probability of each outcome?<br />

a) A student will be chosen.<br />

b) You will be chosen.<br />

The aliens are playing a game with a spinner<br />

and a number cube. The cube is numbered 1 to 6.<br />

The spinner has 4 equal sectors, labelled 1 to 4.<br />

Each player writes down a number between 0 and 5.<br />

He or she then rolls the cube and spins the pointer.<br />

The lesser number is subtracted from the<br />

greater number.<br />

To win, the difference must equal the number<br />

the player wrote.<br />

384<br />

Unit 11

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