Mathematics Part-II

Book: Mathematics Part-II

Chapter: 13. Probability

Subject: Maths - Class 12th

Q. No. 3 of Exercise 13.4

Listen NCERT Audio Books - Kitabein Ab Bolengi

3

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?

Given: A coin is tossed 6 times.

X represents the difference between the number of heads and the number of tails.


X(6H, 0T) = |6-0| = 6


X(5H, 1T) = |5-1| = 4


X(4H, 2T) = |4-2| = 2


X(3H, 3T) = |3-3| = 0


X(2H, 4T) = |2-4| = 2


X(1H, 5T) = |1-5| = 4


X(0H, 6T) = |0-6| = 6


Therefore, X is a function on sample space whose range is {0, 2, 4, 6}.


Thus, X is a random variable which can take the values 0, 2, 4 or 6.


3

Chapter Exercises

More Exercise Questions