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Chapter 14 · Question 3

A fair die is thrown once. Find the probability of getting an even number.

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Answer

Direct Answer

Outcomes are

1,2,3,4,5,6

. Even outcomes are

2,4,6

, so probability

=\frac36=\frac12

.

Simple Explanation

Three of the six die outcomes are even.

Exam-Ready Structure

For a die,

S=\{1,2,3,4,5,6\}

. The event of an even number is

E=\{2,4,6\}

. Hence

P(E)=\frac{3}{6}=\frac{1}{2}

.

Key Points

Outcomes are $1,2,3,4,5,6$ .

Related Questions

What are the minimum and maximum possible values of probability?

State and use the complement rule. If $P(E)=\frac35$ , find $P(\text{not }E)$ .

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