A coin is tossed three times and the outcomes are recorded.

Question:

A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?

Solution:

Total number of outcomes when a coin is tossed once = 2 (Heads, Tails)

Number of outcomes when the coin is tossed for the second time = 2

$\therefore$ Number of outcomes when the coin is tossed thrice $=2 \times 2 \times 2=8$

Similarly, the number of outcomes when the coin is tossed four times $=2 \times 2 \times 2 \times 2=16$

Similarly, the number of outcomes when the coin is tossed five times $=2 \times 2 \times 2 \times 2 \times 2=32$

Similarly, the number of outcomes when the coin is tossed ' $n$ ' times $=2 \times 2 \times \ldots . n$ times $=2^{n}$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now