Q31. - Algebra 2

Question

A coin is tossed four times. How many possible sequences of heads or tails are possible?

1. 4
2. 8
3. 16
4. 32

Step-by-Step Solution

Answer

C) There are 16 possible sequences of heads or tails when a coin is tossed four times.

Step 1. Given Information.

Given, a coin is tossed four times. It is to be determined how many possible sequences of heads or tails are possible.

Step 2. Calculation .

The possibility for each toss is either heads or tails i.e., 2 ways.

And the coin is tossed four times.

By the Fundamental Counting Principle, there are $2\times 2\times 2\times 2=16$ possible sequences of heads or tails when a coin is tossed four times.

Step 3. Conclusion .

Hence, there are 16 possible sequences of heads or tails when a coin is tossed four times.