Chapter 9.1, Problem 26E

Solution

To state: The number of different sequences of head and tail that can be formed if a coin is tossed 10 times.

The resultant outcomes are $1024$ .

Given information:

A coin is tossed 10 times to form different sequence of head and tail.

Explanation:

Consider the given information,

A coin is tossed 10 times.

If a coin is tossed once, the number of outcomes is two (heads or tails).

Tossing the coin second times, again there are two outcomes.

Similarly, for next eight tosses, the same outcomes will appear.

Then the total number of outcomes will become: $2^{10}=1024$

Therefore, $1024$ sequence of head and tail can be formed if a coin is tossed 10 times.