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? - Mathematics

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
∴  Number of outcomes when the coin is tossed thrice = 2xx2xx2=8
Similarly, the number of outcomes when the coin is tossed four times =2xx2xx2xx2=16

Similarly, the number of outcomes when the coin is tossed five times  =2xx2xx2xx2xx2=32

Similarly, the number of outcomes when the coin is tossed 'n' times  = 2xx2xx.......ntimes = 2^n

Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 36 | Page 16