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Chapter 14 · Question 4

What are the minimum and maximum possible values of probability?

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Answer

Direct Answer

For any event

E

,

0\le P(E)\le1

. Impossible event has probability

0

and sure event has probability

1

.

Simple Explanation

Probability cannot be less than 0 or greater than 1.

Exam-Ready Structure

The number of favourable outcomes cannot be negative and cannot exceed the total number of outcomes. Therefore

0\le P(E)\le1

. If no outcome favours

E

,

P(E)=0

. If every outcome favours

E

,

P(E)=1

.

Key Points

For any event $E$ , $0\le P(E)\le1$ .

Related Questions

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

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king.

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