Page 97 - NUMINO Challenge_C2

11 Number of Outcomes

Basic Concepts Number of Outcomes

When a die is rolled, there are six possible outcomes A C
because a die has six pips: 1, 2, 3, 4, 5, and 6. The B
number of possible ways an event can occur is called the
number of outcomes. In complicated cases where two or D
more events occur at the same time, the number of B
outcomes can be found using a tree diagram, like the one CD
on the right. B
DC

Example Find the number of outcomes when a coin is tossed and a die is
rolled.

Class Notes

When a coin is tossed, the outcome can either be head or tail; therefore, the number of
outcomes is . When a die is rolled, the outcome can be 1, 2, 3, 4, 5, or 6; therefore the
number of outcomes is .

The number of outcomes when a coin is tossed and a die is rolled is shown by the tree

diagram below.

Coin Die Coin Die

Head 1 Tail 1

22

33

44

55

66 .
Therefore, the number of outcomes when a coin is tossed and a die is rolled is

Try It Again Find all the 3-digit numbers that can be made by digits 1 to 4.
In each 3-digit number, the digit in the hundreds place must be
greater than the digit in the tens place, and the digit in the
tens place must be greater than the digit in the ones place.
Draw a tree diagram.

94 NUMINO Challenge C2