# Find the Probability Distribution Of Number of Heads in Two Tosses of a Coin - Mathematics and Statistics

Sum

Find the probability distribution of number of heads in two tosses of a coin.

#### Solution

When one coin is tossed twice, the sample space is

{HH, HT, TH, TT}

Let X represent the number of heads s in two tosses of a coin.

∴ X (HH) = 2, X (HT) = 1, X (TH) = 1, X (TT) = 0

Therefore, X can take the value of 0, 1, or 2.

It is known that,

P(HH) = P(HT) = P(TH) = P(TT) = 1/4

P(X = 0) = P(TT) = 1/4

P(X = 1) = P(HT) + P(TH) = 1/4 +1/4 = 1/2

P(X = 2) = P(HH) = 1/4

Thus, the required probability distribution is as follows.

 X 0 1 2 P(X) 1/4 1/2 1/4
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#### APPEARS IN

NCERT Class 12 Maths
Chapter 13 Probability
Q 4.1 | Page 570
Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 7 Probability Distributions
Exercise 7.1 | Q 4.1 | Page 232