Chapter 14.CT, Problem 13CT

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**13.** In a group of four students, what is the probability that at least two have the same astrological sign?

To determine

**To find:**

The probability of getting at least two students of same astrological sign from a group of four students.

Explanation

**Approach:**

The formula of probability of an event is given by,

Here,

The formula of compliment of probability of an event is given by,

**Calculation:**

There are 12 astrological signs.

So,

The ways by which a student can have a astrological sign is also

So,

Substitute

The ways by which second student has a different astrological sign is

So,

Substitute

The ways by which third student has a different astrological sign is

So,

Substitute

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